7,536,002

2 × 263 × 14327

7,536,002 factors as 2 × 263 × 14327. Its 8 positive divisors give a proper-divisor sum of 3,811,774, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 263 × 14327

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,347,776

Proper Divisor Sum 3,811,774

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7535999 ← → #7536013

Radix Representation

Decimal	7536002
Binary	11100101111110110000010 (23 bits)
Octal	0o34576602
Hexadecimal	0x72FD82

Divisor Catalog (8)

1 2 263 526 14,327 28,654 3,768,001 7,536,002

Collatz Trajectory (155 steps to reach 1)

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

7,536,002 3,768,001 11,304,004 5,652,002 2,826,001 8,478,004 4,239,002 2,119,501 6,358,504 3,179,252 1,589,626 794,813 2,384,440 1,192,220 596,110 298,055 894,166 447,083 1,341,250 670,625 2,011,876 1,005,938 502,969 1,508,908 754,454 377,227 1,131,682 565,841 1,697,524 848,762 424,381 1,273,144 636,572 318,286 159,143 477,430 238,715 716,146 358,073 1,074,220 537,110 268,555 805,666 402,833 1,208,500 604,250 302,125 906,376 453,188 226,594 113,297 339,892 169,946 84,973 254,920 127,460 63,730 31,865 95,596 47,798

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