430,472

2³ × 7 × 7687

430,472 has digital root 2. The neighboring primes are 430453 and 430487; its proper-divisor sum differs from the starting integer by 61,616.

Prime Factor Structure

Factorization String 2^3 × 7 × 7687

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 922,560

Proper Divisor Sum 492,088

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #430453 ← → #430487

Radix Representation

Decimal	430472
Binary	1101001000110001000 (19 bits)
Octal	0o1510610
Hexadecimal	0x69188

Divisor Catalog (16)

1 2 4 7 8 14 28 56 7,687 15,374 30,748 53,809 61,496 107,618 215,236 430,472

Collatz Trajectory (143 steps to reach 1)

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

430,472 215,236 107,618 53,809 161,428 80,714 40,357 121,072 60,536 30,268 15,134 7,567 22,702 11,351 34,054 17,027 51,082 25,541 76,624 38,312 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466

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