402,838

2 × 19 × 10601

Starting at 402,838, the Collatz iteration reaches 1 after 112 steps. The first transition is 201419; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 19 × 10601

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 636,120

Proper Divisor Sum 233,282

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #402823 ← → #402847

Radix Representation

Decimal	402838
Binary	1100010010110010110 (19 bits)
Octal	0o1422626
Hexadecimal	0x62596

Divisor Catalog (8)

1 2 19 38 10,601 21,202 201,419 402,838

Collatz Trajectory (112 steps to reach 1)

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

402,838 201,419 604,258 302,129 906,388 453,194 226,597 679,792 339,896 169,948 84,974 42,487 127,462 63,731 191,194 95,597 286,792 143,396 71,698 35,849 107,548 53,774 26,887 80,662 40,331 120,994 60,497 181,492 90,746 45,373 136,120 68,060 34,030 17,015 51,046 25,523 76,570 38,285 114,856 57,428 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427

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