422,456

2³ × 52807

422,456 factors as 2^3 × 52807. Its 8 positive divisors give a proper-divisor sum of 369,664, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^3 × 52807

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 792,120

Proper Divisor Sum 369,664

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #422453 ← → #422459

Radix Representation

Decimal	422456
Binary	1100111001000111000 (19 bits)
Octal	0o1471070
Hexadecimal	0x67238

Divisor Catalog (8)

1 2 4 8 52,807 105,614 211,228 422,456

Collatz Trajectory (156 steps to reach 1)

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

422,456 211,228 105,614 52,807 158,422 79,211 237,634 118,817 356,452 178,226 89,113 267,340 133,670 66,835 200,506 100,253 300,760 150,380 75,190 37,595 112,786 56,393 169,180 84,590 42,295 126,886 63,443 190,330 95,165 285,496 142,748 71,374 35,687 107,062 53,531 160,594 80,297 240,892 120,446 60,223 180,670 90,335 271,006 135,503 406,510 203,255 609,766 304,883 914,650 457,325 1,371,976 685,988 342,994 171,497 514,492 257,246 128,623 385,870 192,935 578,806

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