4,674,432

2⁷ × 3 × 7 × 37 × 47

4,674,432 factors as 2^7 × 3 × 7 × 37 × 47. Its 128 positive divisors give a proper-divisor sum of 10,209,408, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^7 × 3 × 7 × 37 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 14,883,840

Proper Divisor Sum 10,209,408

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4674421 ← → #4674433

Radix Representation

Decimal	4674432
Binary	10001110101001110000000 (23 bits)
Octal	0o21651600
Hexadecimal	0x475380

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 47 48 56 64 74 84 94 96 111 112 128 141 148 168 188 192 222 224 259 282 296 329 336 376 384 444 448 518 564 592 658 672 752 777 888 896 987 1,036 1,128 1,184 1,316 1,344 1,504 1,554

Collatz Trajectory (74 steps to reach 1)

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

4,674,432 2,337,216 1,168,608 584,304 292,152 146,076 73,038 36,519 109,558 54,779 164,338 82,169 246,508 123,254 61,627 184,882 92,441 277,324 138,662 69,331 207,994 103,997 311,992 155,996 77,998 38,999 116,998 58,499 175,498 87,749 263,248 131,624 65,812 32,906 16,453 49,360 24,680 12,340 6,170 3,085 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23

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