356,310

2 × 3² × 5 × 37 × 107

356,310 factors as 2 × 3^2 × 5 × 37 × 107. Its 48 positive divisors give a proper-divisor sum of 604,026, so this integer is abundant. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 37 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 960,336

Proper Divisor Sum 604,026

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #356299 ← → #356311

Radix Representation

Decimal	356310
Binary	1010110111111010110 (19 bits)
Octal	0o1267726
Hexadecimal	0x56FD6

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 37 45 74 90 107 111 185 214 222 321 333 370 535 555 642 666 963 1,070 1,110 1,605 1,665 1,926 3,210 3,330 3,959 4,815 7,918 9,630 11,877 19,795 23,754 35,631 39,590 59,385 71,262 118,770 178,155 356,310

Collatz Trajectory (241 steps to reach 1)

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

356,310 178,155 534,466 267,233 801,700 400,850 200,425 601,276 300,638 150,319 450,958 225,479 676,438 338,219 1,014,658 507,329 1,521,988 760,994 380,497 1,141,492 570,746 285,373 856,120 428,060 214,030 107,015 321,046 160,523 481,570 240,785 722,356 361,178 180,589 541,768 270,884 135,442 67,721 203,164 101,582 50,791 152,374 76,187 228,562 114,281 342,844 171,422 85,711 257,134 128,567 385,702 192,851 578,554 289,277 867,832 433,916 216,958 108,479 325,438 162,719 488,158

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