7,475,031

3³ × 251 × 1103

7,475,031 factors as 3^3 × 251 × 1103. Its 16 positive divisors give a proper-divisor sum of 3,653,289, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 3^3 × 251 × 1103

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,128,320

Proper Divisor Sum 3,653,289

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7475029 ← → #7475033

Radix Representation

Decimal	7475031
Binary	11100100000111101010111 (23 bits)
Octal	0o34407527
Hexadecimal	0x720F57

Divisor Catalog (16)

1 3 9 27 251 753 1,103 2,259 3,309 6,777 9,927 29,781 276,853 830,559 2,491,677 7,475,031

Collatz Trajectory (111 steps to reach 1)

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

7,475,031 22,425,094 11,212,547 33,637,642 16,818,821 50,456,464 25,228,232 12,614,116 6,307,058 3,153,529 9,460,588 4,730,294 2,365,147 7,095,442 3,547,721 10,643,164 5,321,582 2,660,791 7,982,374 3,991,187 11,973,562 5,986,781 17,960,344 8,980,172 4,490,086 2,245,043 6,735,130 3,367,565 10,102,696 5,051,348 2,525,674 1,262,837 3,788,512 1,894,256 947,128 473,564 236,782 118,391 355,174 177,587 532,762 266,381 799,144 399,572 199,786 99,893 299,680 149,840 74,920 37,460 18,730 9,365 28,096 14,048 7,024 3,512 1,756 878 439 1,318

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