7,661,715

3 × 5 × 73 × 6997

7,661,715 factors as 3 × 5 × 73 × 6997. Its 16 positive divisors give a proper-divisor sum of 4,766,733, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 3 × 5 × 73 × 6997

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,428,448

Proper Divisor Sum 4,766,733

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7661707 ← → #7661723

Radix Representation

Decimal	7661715
Binary	11101001110100010010011 (23 bits)
Octal	0o35164223
Hexadecimal	0x74E893

Divisor Catalog (16)

1 3 5 15 73 219 365 1,095 6,997 20,991 34,985 104,955 510,781 1,532,343 2,553,905 7,661,715

Collatz Trajectory (173 steps to reach 1)

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

7,661,715 22,985,146 11,492,573 34,477,720 17,238,860 8,619,430 4,309,715 12,929,146 6,464,573 19,393,720 9,696,860 4,848,430 2,424,215 7,272,646 3,636,323 10,908,970 5,454,485 16,363,456 8,181,728 4,090,864 2,045,432 1,022,716 511,358 255,679 767,038 383,519 1,150,558 575,279 1,725,838 862,919 2,588,758 1,294,379 3,883,138 1,941,569 5,824,708 2,912,354 1,456,177 4,368,532 2,184,266 1,092,133 3,276,400 1,638,200 819,100 409,550 204,775 614,326 307,163 921,490 460,745 1,382,236 691,118 345,559 1,036,678 518,339 1,555,018 777,509 2,332,528 1,166,264 583,132 291,566

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