3,445,464

2³ × 3 × 11 × 31 × 421

3,445,464 has the prime decomposition 2^3 × 3 × 11 × 31 × 421. Its 5 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 31 × 421

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 9,722,880

Proper Divisor Sum 6,277,416

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3445459 ← → #3445471

Radix Representation

Decimal	3445464
Binary	1101001001001011011000 (22 bits)
Octal	0o15111330
Hexadecimal	0x3492D8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 421 682 744 842 1,023 1,263 1,364 1,684 2,046 2,526 2,728 3,368 4,092 4,631 5,052 8,184 9,262 10,104 13,051 13,893 18,524 26,102 27,786 37,048 39,153 52,204 55,572 78,306 104,408 111,144 143,561 156,612 287,122 313,224 430,683 574,244

Collatz Trajectory (221 steps to reach 1)

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

3,445,464 1,722,732 861,366 430,683 1,292,050 646,025 1,938,076 969,038 484,519 1,453,558 726,779 2,180,338 1,090,169 3,270,508 1,635,254 817,627 2,452,882 1,226,441 3,679,324 1,839,662 919,831 2,759,494 1,379,747 4,139,242 2,069,621 6,208,864 3,104,432 1,552,216 776,108 388,054 194,027 582,082 291,041 873,124 436,562 218,281 654,844 327,422 163,711 491,134 245,567 736,702 368,351 1,105,054 552,527 1,657,582 828,791 2,486,374 1,243,187 3,729,562 1,864,781 5,594,344 2,797,172 1,398,586 699,293 2,097,880 1,048,940 524,470 262,235 786,706

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