423,512

2³ × 167 × 317

For 423,512, the 16 positive divisors have a total of 801,360. Removing 423,512 leaves 377,848, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 167 × 317

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 801,360

Proper Divisor Sum 377,848

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #423509 ← → #423541

Radix Representation

Decimal	423512
Binary	1100111011001011000 (19 bits)
Octal	0o1473130
Hexadecimal	0x67658

Divisor Catalog (16)

1 2 4 8 167 317 334 634 668 1,268 1,336 2,536 52,939 105,878 211,756 423,512

Collatz Trajectory (81 steps to reach 1)

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

423,512 211,756 105,878 52,939 158,818 79,409 238,228 119,114 59,557 178,672 89,336 44,668 22,334 11,167 33,502 16,751 50,254 25,127 75,382 37,691 113,074 56,537 169,612 84,806 42,403 127,210 63,605 190,816 95,408 47,704 23,852 11,926 5,963 17,890 8,945 26,836 13,418 6,709 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76

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