430,407

3³ × 19 × 839

430,407 factors as 3^3 × 19 × 839. Its 16 positive divisors give a proper-divisor sum of 241,593, so this integer is deficient. The Collatz stopping time is 280 steps.

Prime Factor Structure

Factorization String 3^3 × 19 × 839

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 672,000

Proper Divisor Sum 241,593

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #430393 ← → #430411

Radix Representation

Decimal	430407
Binary	1101001000101000111 (19 bits)
Octal	0o1510507
Hexadecimal	0x69147

Divisor Catalog (16)

1 3 9 19 27 57 171 513 839 2,517 7,551 15,941 22,653 47,823 143,469 430,407

Collatz Trajectory (280 steps to reach 1)

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

430,407 1,291,222 645,611 1,936,834 968,417 2,905,252 1,452,626 726,313 2,178,940 1,089,470 544,735 1,634,206 817,103 2,451,310 1,225,655 3,676,966 1,838,483 5,515,450 2,757,725 8,273,176 4,136,588 2,068,294 1,034,147 3,102,442 1,551,221 4,653,664 2,326,832 1,163,416 581,708 290,854 145,427 436,282 218,141 654,424 327,212 163,606 81,803 245,410 122,705 368,116 184,058 92,029 276,088 138,044 69,022 34,511 103,534 51,767 155,302 77,651 232,954 116,477 349,432 174,716 87,358 43,679 131,038 65,519 196,558 98,279

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