8,431,430

2 × 5 × 7² × 17207

8,431,430 factors as 2 × 5 × 7^2 × 17207. Its 24 positive divisors give a proper-divisor sum of 9,223,978, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 17207

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,655,408

Proper Divisor Sum 9,223,978

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8431417 ← → #8431441

Radix Representation

Decimal	8431430
Binary	100000001010011101000110 (24 bits)
Octal	0o40123506
Hexadecimal	0x80A746

Divisor Catalog (24)

1 2 5 7 10 14 35 49 70 98 245 490 17,207 34,414 86,035 120,449 172,070 240,898 602,245 843,143 1,204,490 1,686,286 4,215,715 8,431,430

Collatz Trajectory (106 steps to reach 1)

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

8,431,430 4,215,715 12,647,146 6,323,573 18,970,720 9,485,360 4,742,680 2,371,340 1,185,670 592,835 1,778,506 889,253 2,667,760 1,333,880 666,940 333,470 166,735 500,206 250,103 750,310 375,155 1,125,466 562,733 1,688,200 844,100 422,050 211,025 633,076 316,538 158,269 474,808 237,404 118,702 59,351 178,054 89,027 267,082 133,541 400,624 200,312 100,156 50,078 25,039 75,118 37,559 112,678 56,339 169,018 84,509 253,528 126,764 63,382 31,691 95,074 47,537 142,612 71,306 35,653 106,960 53,480

← Previous Integer #8,431,429 Browse Full Index Next Integer #8,431,431 →