4,232,184

2³ × 3 × 11 × 17 × 23 × 41

4,232,184 factors as 2^3 × 3 × 11 × 17 × 23 × 41. Its 128 positive divisors give a proper-divisor sum of 8,831,496, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 17 × 23 × 41

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 13,063,680

Proper Divisor Sum 8,831,496

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4232183 ← → #4232191

Radix Representation

Decimal	4232184
Binary	10000001001001111111000 (23 bits)
Octal	0o20111770
Hexadecimal	0x4093F8

Divisor Catalog (60 of 128)

1 2 3 4 6 8 11 12 17 22 23 24 33 34 41 44 46 51 66 68 69 82 88 92 102 123 132 136 138 164 184 187 204 246 253 264 276 328 374 391 408 451 492 506 552 561 697 748 759 782 902 943 984 1,012 1,122 1,173 1,353 1,394 1,496 1,518

Collatz Trajectory (149 steps to reach 1)

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

4,232,184 2,116,092 1,058,046 529,023 1,587,070 793,535 2,380,606 1,190,303 3,570,910 1,785,455 5,356,366 2,678,183 8,034,550 4,017,275 12,051,826 6,025,913 18,077,740 9,038,870 4,519,435 13,558,306 6,779,153 20,337,460 10,168,730 5,084,365 15,253,096 7,626,548 3,813,274 1,906,637 5,719,912 2,859,956 1,429,978 714,989 2,144,968 1,072,484 536,242 268,121 804,364 402,182 201,091 603,274 301,637 904,912 452,456 226,228 113,114 56,557 169,672 84,836 42,418 21,209 63,628 31,814 15,907 47,722 23,861 71,584 35,792 17,896 8,948 4,474

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