9,812,215

5 × 7 × 37 × 7577

9,812,215 factors as 5 × 7 × 37 × 7577. Its 16 positive divisors give a proper-divisor sum of 4,010,057, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 5 × 7 × 37 × 7577

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,822,272

Proper Divisor Sum 4,010,057

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #9812207 ← → #9812233

Radix Representation

Decimal	9812215
Binary	100101011011100011110111 (24 bits)
Octal	0o45334367
Hexadecimal	0x95B8F7

Divisor Catalog (16)

1 5 7 35 37 185 259 1,295 7,577 37,885 53,039 265,195 280,349 1,401,745 1,962,443 9,812,215

Collatz Trajectory (88 steps to reach 1)

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

9,812,215 29,436,646 14,718,323 44,154,970 22,077,485 66,232,456 33,116,228 16,558,114 8,279,057 24,837,172 12,418,586 6,209,293 18,627,880 9,313,940 4,656,970 2,328,485 6,985,456 3,492,728 1,746,364 873,182 436,591 1,309,774 654,887 1,964,662 982,331 2,946,994 1,473,497 4,420,492 2,210,246 1,105,123 3,315,370 1,657,685 4,973,056 2,486,528 1,243,264 621,632 310,816 155,408 77,704 38,852 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732

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