432,459

3⁴ × 19 × 281

Starting at 432,459, the Collatz iteration reaches 1 after 81 steps. The first transition is 1297378; the starting value is odd with 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 19 × 281

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 682,440

Proper Divisor Sum 249,981

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #432457 ← → #432479

Radix Representation

Decimal	432459
Binary	1101001100101001011 (19 bits)
Octal	0o1514513
Hexadecimal	0x6994B

Divisor Catalog (20)

1 3 9 19 27 57 81 171 281 513 843 1,539 2,529 5,339 7,587 16,017 22,761 48,051 144,153 432,459

Collatz Trajectory (81 steps to reach 1)

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

432,459 1,297,378 648,689 1,946,068 973,034 486,517 1,459,552 729,776 364,888 182,444 91,222 45,611 136,834 68,417 205,252 102,626 51,313 153,940 76,970 38,485 115,456 57,728 28,864 14,432 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77

← Previous Integer #432,458 Browse Full Index Next Integer #432,460 →