4,098,375

3² × 5³ × 3643

4,098,375 factors as 3^2 × 5^3 × 3643. Its 24 positive divisors give a proper-divisor sum of 3,291,657, so this integer is deficient. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 3^2 × 5^3 × 3643

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,390,032

Proper Divisor Sum 3,291,657

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4098371 ← → #4098389

Radix Representation

Decimal	4098375
Binary	1111101000100101000111 (22 bits)
Octal	0o17504507
Hexadecimal	0x3E8947

Divisor Catalog (24)

1 3 5 9 15 25 45 75 125 225 375 1,125 3,643 10,929 18,215 32,787 54,645 91,075 163,935 273,225 455,375 819,675 1,366,125 4,098,375

Collatz Trajectory (216 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,098,375 12,295,126 6,147,563 18,442,690 9,221,345 27,664,036 13,832,018 6,916,009 20,748,028 10,374,014 5,187,007 15,561,022 7,780,511 23,341,534 11,670,767 35,012,302 17,506,151 52,518,454 26,259,227 78,777,682 39,388,841 118,166,524 59,083,262 29,541,631 88,624,894 44,312,447 132,937,342 66,468,671 199,406,014 99,703,007 299,109,022 149,554,511 448,663,534 224,331,767 672,995,302 336,497,651 1,009,492,954 504,746,477 1,514,239,432 757,119,716 378,559,858 189,279,929 567,839,788 283,919,894 141,959,947 425,879,842 212,939,921 638,819,764 319,409,882 159,704,941 479,114,824 239,557,412 119,778,706 59,889,353 179,668,060 89,834,030 44,917,015 134,751,046 67,375,523 202,126,570

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