λ
Match Zalai

3,182,295

3 × 5 × 353 × 601
Deficient Odd Composite

3,182,295 factors as 3 × 5 × 353 × 601. Its 16 positive divisors give a proper-divisor sum of 1,932,297, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 3 × 5 × 353 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,114,592
Proper Divisor Sum 1,932,297
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3182293 ← → #3182317

Radix Representation

Decimal 3182295
Binary 1100001000111011010111 (22 bits)
Octal 0o14107327
Hexadecimal 0x308ED7

Divisor Catalog (16)

1 3 5 15 353 601 1,059 1,765 1,803 3,005 5,295 9,015 212,153 636,459 1,060,765 3,182,295

Collatz Trajectory (107 steps to reach 1)

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

3,182,295 9,546,886 4,773,443 14,320,330 7,160,165 21,480,496 10,740,248 5,370,124 2,685,062 1,342,531 4,027,594 2,013,797 6,041,392 3,020,696 1,510,348 755,174 377,587 1,132,762 566,381 1,699,144 849,572 424,786 212,393 637,180 318,590 159,295 477,886 238,943 716,830 358,415 1,075,246 537,623 1,612,870 806,435 2,419,306 1,209,653 3,628,960 1,814,480 907,240 453,620 226,810 113,405 340,216 170,108 85,054 42,527 127,582 63,791 191,374 95,687 287,062 143,531 430,594 215,297 645,892 322,946 161,473 484,420 242,210 121,105

More profiles

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