787,839

3 × 13 × 20201

787,839 is odd and not a perfect square. Its factorization is 3 × 13 × 20201 and its 8 divisors sum to 1,131,312.

Prime Factor Structure

Factorization String 3 × 13 × 20201

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,131,312

Proper Divisor Sum 343,473

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #787837 ← → #787879

Radix Representation

Decimal	787839
Binary	11000000010101111111 (20 bits)
Octal	0o3002577
Hexadecimal	0xC057F

Divisor Catalog (8)

1 3 13 39 20,201 60,603 262,613 787,839

Collatz Trajectory (237 steps to reach 1)

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

787,839 2,363,518 1,181,759 3,545,278 1,772,639 5,317,918 2,658,959 7,976,878 3,988,439 11,965,318 5,982,659 17,947,978 8,973,989 26,921,968 13,460,984 6,730,492 3,365,246 1,682,623 5,047,870 2,523,935 7,571,806 3,785,903 11,357,710 5,678,855 17,036,566 8,518,283 25,554,850 12,777,425 38,332,276 19,166,138 9,583,069 28,749,208 14,374,604 7,187,302 3,593,651 10,780,954 5,390,477 16,171,432 8,085,716 4,042,858 2,021,429 6,064,288 3,032,144 1,516,072 758,036 379,018 189,509 568,528 284,264 142,132 71,066 35,533 106,600 53,300 26,650 13,325 39,976 19,988 9,994 4,997

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