430,304

2⁵ × 7 × 17 × 113

430,304 factors as 2^5 × 7 × 17 × 113. Its 48 positive divisors give a proper-divisor sum of 603,904, so this integer is abundant. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 17 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,034,208

Proper Divisor Sum 603,904

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #430303 ← → #430319

Radix Representation

Decimal	430304
Binary	1101001000011100000 (19 bits)
Octal	0o1510340
Hexadecimal	0x690E0

Divisor Catalog (48)

1 2 4 7 8 14 16 17 28 32 34 56 68 112 113 119 136 224 226 238 272 452 476 544 791 904 952 1,582 1,808 1,904 1,921 3,164 3,616 3,808 3,842 6,328 7,684 12,656 13,447 15,368 25,312 26,894 30,736 53,788 61,472 107,576 215,152 430,304

Collatz Trajectory (218 steps to reach 1)

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

430,304 215,152 107,576 53,788 26,894 13,447 40,342 20,171 60,514 30,257 90,772 45,386 22,693 68,080 34,040 17,020 8,510 4,255 12,766 6,383 19,150 9,575 28,726 14,363 43,090 21,545 64,636 32,318 16,159 48,478 24,239 72,718 36,359 109,078 54,539 163,618 81,809 245,428 122,714 61,357 184,072 92,036 46,018 23,009 69,028 34,514 17,257 51,772 25,886 12,943 38,830 19,415 58,246 29,123 87,370 43,685 131,056 65,528 32,764 16,382

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