3,624,432

2⁴ × 3 × 7² × 23 × 67

Prime Factor Structure

Factorization String 2^4 × 3 × 7^2 × 23 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 11,534,976

Proper Divisor Sum 7,910,544

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3624431 ← → #3624433

Radix Representation

Decimal	3624432
Binary	1101110100110111110000 (22 bits)
Octal	0o15646760
Hexadecimal	0x374DF0

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 67 69 84 92 98 112 134 138 147 161 168 184 196 201 268 276 294 322 336 368 392 402 469 483 536 552 588 644 784 804 938 966 1,072 1,104 1,127 1,176 1,288 1,407 1,541 1,608 1,876

Collatz Trajectory (203 steps to reach 1)

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

3,624,432 1,812,216 906,108 453,054 226,527 679,582 339,791 1,019,374 509,687 1,529,062 764,531 2,293,594 1,146,797 3,440,392 1,720,196 860,098 430,049 1,290,148 645,074 322,537 967,612 483,806 241,903 725,710 362,855 1,088,566 544,283 1,632,850 816,425 2,449,276 1,224,638 612,319 1,836,958 918,479 2,755,438 1,377,719 4,133,158 2,066,579 6,199,738 3,099,869 9,299,608 4,649,804 2,324,902 1,162,451 3,487,354 1,743,677 5,231,032 2,615,516 1,307,758 653,879 1,961,638 980,819 2,942,458 1,471,229 4,413,688 2,206,844 1,103,422 551,711 1,655,134 827,567

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