7,609,484

2² × 29 × 65599

7,609,484 factors as 2^2 × 29 × 65599. Its 12 positive divisors give a proper-divisor sum of 6,166,516, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 65599

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,776,000

Proper Divisor Sum 6,166,516

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7609471 ← → #7609487

Radix Representation

Decimal	7609484
Binary	11101000001110010001100 (23 bits)
Octal	0o35016214
Hexadecimal	0x741C8C

Divisor Catalog (12)

1 2 4 29 58 116 65,599 131,198 262,396 1,902,371 3,804,742 7,609,484

Collatz Trajectory (155 steps to reach 1)

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

7,609,484 3,804,742 1,902,371 5,707,114 2,853,557 8,560,672 4,280,336 2,140,168 1,070,084 535,042 267,521 802,564 401,282 200,641 601,924 300,962 150,481 451,444 225,722 112,861 338,584 169,292 84,646 42,323 126,970 63,485 190,456 95,228 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582 180,791 542,374 271,187 813,562 406,781 1,220,344 610,172 305,086 152,543 457,630 228,815 686,446 343,223 1,029,670 514,835 1,544,506 772,253 2,316,760 1,158,380 579,190 289,595

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