7,359,261

3 × 7² × 13 × 3851

7,359,261 factors as 3 × 7^2 × 13 × 3851. Its 24 positive divisors give a proper-divisor sum of 4,936,323, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 13 × 3851

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,295,584

Proper Divisor Sum 4,936,323

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7359257 ← → #7359277

Radix Representation

Decimal	7359261
Binary	11100000100101100011101 (23 bits)
Octal	0o34045435
Hexadecimal	0x704B1D

Divisor Catalog (24)

Collatz Trajectory (160 steps to reach 1)

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

7,359,261 22,077,784 11,038,892 5,519,446 2,759,723 8,279,170 4,139,585 12,418,756 6,209,378 3,104,689 9,314,068 4,657,034 2,328,517 6,985,552 3,492,776 1,746,388 873,194 436,597 1,309,792 654,896 327,448 163,724 81,862 40,931 122,794 61,397 184,192 92,096 46,048 23,024 11,512 5,756 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786

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