7,974,725

5² × 11 × 47 × 617

7,974,725 factors as 5^2 × 11 × 47 × 617. Its 24 positive divisors give a proper-divisor sum of 3,060,283, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 5^2 × 11 × 47 × 617

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,035,008

Proper Divisor Sum 3,060,283

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7974709 ← → #7974727

Radix Representation

Decimal	7974725
Binary	11110011010111101000101 (23 bits)
Octal	0o36327505
Hexadecimal	0x79AF45

Divisor Catalog (24)

1 5 11 25 47 55 235 275 517 617 1,175 2,585 3,085 6,787 12,925 15,425 28,999 33,935 144,995 169,675 318,989 724,975 1,594,945 7,974,725

Collatz Trajectory (93 steps to reach 1)

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

7,974,725 23,924,176 11,962,088 5,981,044 2,990,522 1,495,261 4,485,784 2,242,892 1,121,446 560,723 1,682,170 841,085 2,523,256 1,261,628 630,814 315,407 946,222 473,111 1,419,334 709,667 2,129,002 1,064,501 3,193,504 1,596,752 798,376 399,188 199,594 99,797 299,392 149,696 74,848 37,424 18,712 9,356 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236

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