436,863

3 × 7 × 71 × 293

436,863 factors as 3 × 7 × 71 × 293. Its 16 positive divisors give a proper-divisor sum of 240,513, so this integer is deficient. The Collatz stopping time is 293 steps.

Prime Factor Structure

Factorization String 3 × 7 × 71 × 293

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 677,376

Proper Divisor Sum 240,513

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #436853 ← → #436871

Radix Representation

Decimal	436863
Binary	1101010101001111111 (19 bits)
Octal	0o1525177
Hexadecimal	0x6AA7F

Divisor Catalog (16)

1 3 7 21 71 213 293 497 879 1,491 2,051 6,153 20,803 62,409 145,621 436,863

Collatz Trajectory (293 steps to reach 1)

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

436,863 1,310,590 655,295 1,965,886 982,943 2,948,830 1,474,415 4,423,246 2,211,623 6,634,870 3,317,435 9,952,306 4,976,153 14,928,460 7,464,230 3,732,115 11,196,346 5,598,173 16,794,520 8,397,260 4,198,630 2,099,315 6,297,946 3,148,973 9,446,920 4,723,460 2,361,730 1,180,865 3,542,596 1,771,298 885,649 2,656,948 1,328,474 664,237 1,992,712 996,356 498,178 249,089 747,268 373,634 186,817 560,452 280,226 140,113 420,340 210,170 105,085 315,256 157,628 78,814 39,407 118,222 59,111 177,334 88,667 266,002 133,001 399,004 199,502 99,751

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