512,432

2⁴ × 32027

512,432 factors as 2^4 × 32027. Its 10 positive divisors give a proper-divisor sum of 480,436, so this integer is deficient. The Collatz stopping time is 257 steps.

Prime Factor Structure

Factorization String 2^4 × 32027

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 992,868

Proper Divisor Sum 480,436

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #512429 ← → #512443

Radix Representation

Decimal	512432
Binary	1111101000110110000 (19 bits)
Octal	0o1750660
Hexadecimal	0x7D1B0

Divisor Catalog (10)

1 2 4 8 16 32,027 64,054 128,108 256,216 512,432

Collatz Trajectory (257 steps to reach 1)

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

512,432 256,216 128,108 64,054 32,027 96,082 48,041 144,124 72,062 36,031 108,094 54,047 162,142 81,071 243,214 121,607 364,822 182,411 547,234 273,617 820,852 410,426 205,213 615,640 307,820 153,910 76,955 230,866 115,433 346,300 173,150 86,575 259,726 129,863 389,590 194,795 584,386 292,193 876,580 438,290 219,145 657,436 328,718 164,359 493,078 246,539 739,618 369,809 1,109,428 554,714 277,357 832,072 416,036 208,018 104,009 312,028 156,014 78,007 234,022 117,011

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