3,443,232

2⁵ × 3 × 13 × 31 × 89

3,443,232 factors as 2^5 × 3 × 13 × 31 × 89. Its 96 positive divisors give a proper-divisor sum of 6,717,408, so this integer is abundant. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 31 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 10,160,640

Proper Divisor Sum 6,717,408

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3443227 ← → #3443233

Radix Representation

Decimal	3443232
Binary	1101001000101000100000 (22 bits)
Octal	0o15105040
Hexadecimal	0x348A20

Divisor Catalog (60 of 96)

1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 89 93 96 104 124 156 178 186 208 248 267 312 356 372 403 416 496 534 624 712 744 806 992 1,068 1,157 1,209 1,248 1,424 1,488 1,612 2,136 2,314 2,418 2,759 2,848 2,976 3,224 3,471 4,272 4,628 4,836 5,518

Collatz Trajectory (234 steps to reach 1)

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

3,443,232 1,721,616 860,808 430,404 215,202 107,601 322,804 161,402 80,701 242,104 121,052 60,526 30,263 90,790 45,395 136,186 68,093 204,280 102,140 51,070 25,535 76,606 38,303 114,910 57,455 172,366 86,183 258,550 129,275 387,826 193,913 581,740 290,870 145,435 436,306 218,153 654,460 327,230 163,615 490,846 245,423 736,270 368,135 1,104,406 552,203 1,656,610 828,305 2,484,916 1,242,458 621,229 1,863,688 931,844 465,922 232,961 698,884 349,442 174,721 524,164 262,082 131,041

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