779,870

2 × 5 × 7 × 13 × 857

Starting at 779,870, the Collatz iteration reaches 1 after 131 steps. The first transition is 389935; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13 × 857

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,729,728

Proper Divisor Sum 949,858

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #779869 ← → #779873

Radix Representation

Decimal	779870
Binary	10111110011001011110 (20 bits)
Octal	0o2763136
Hexadecimal	0xBE65E

Divisor Catalog (32)

1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 857 910 1,714 4,285 5,999 8,570 11,141 11,998 22,282 29,995 55,705 59,990 77,987 111,410 155,974 389,935 779,870

Collatz Trajectory (131 steps to reach 1)

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

779,870 389,935 1,169,806 584,903 1,754,710 877,355 2,632,066 1,316,033 3,948,100 1,974,050 987,025 2,961,076 1,480,538 740,269 2,220,808 1,110,404 555,202 277,601 832,804 416,402 208,201 624,604 312,302 156,151 468,454 234,227 702,682 351,341 1,054,024 527,012 263,506 131,753 395,260 197,630 98,815 296,446 148,223 444,670 222,335 667,006 333,503 1,000,510 500,255 1,500,766 750,383 2,251,150 1,125,575 3,376,726 1,688,363 5,065,090 2,532,545 7,597,636 3,798,818 1,899,409 5,698,228 2,849,114 1,424,557 4,273,672 2,136,836 1,068,418

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