7,813,640

2³ × 5 × 195341

7,813,640 factors as 2^3 × 5 × 195341. Its 16 positive divisors give a proper-divisor sum of 9,767,140, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 195341

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,580,780

Proper Divisor Sum 9,767,140

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7813639 ← → #7813649

Radix Representation

Decimal	7813640
Binary	11101110011101000001000 (23 bits)
Octal	0o35635010
Hexadecimal	0x773A08

Divisor Catalog (16)

1 2 4 5 8 10 20 40 195,341 390,682 781,364 976,705 1,562,728 1,953,410 3,906,820 7,813,640

Collatz Trajectory (80 steps to reach 1)

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

7,813,640 3,906,820 1,953,410 976,705 2,930,116 1,465,058 732,529 2,197,588 1,098,794 549,397 1,648,192 824,096 412,048 206,024 103,012 51,506 25,753 77,260 38,630 19,315 57,946 28,973 86,920 43,460 21,730 10,865 32,596 16,298 8,149 24,448 12,224 6,112 3,056 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232

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