4,646,320

2⁴ × 5 × 7 × 8297

4,646,320 factors as 2^4 × 5 × 7 × 8297. Its 40 positive divisors give a proper-divisor sum of 7,701,104, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 8297

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 12,347,424

Proper Divisor Sum 7,701,104

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4646297 ← → #4646329

Radix Representation

Decimal	4646320
Binary	10001101110010110110000 (23 bits)
Octal	0o21562660
Hexadecimal	0x46E5B0

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 8,297 16,594 33,188 41,485 58,079 66,376 82,970 116,158 132,752 165,940 232,316 290,395 331,880 464,632 580,790 663,760 929,264 1,161,580 2,323,160 4,646,320

Collatz Trajectory (105 steps to reach 1)

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

4,646,320 2,323,160 1,161,580 580,790 290,395 871,186 435,593 1,306,780 653,390 326,695 980,086 490,043 1,470,130 735,065 2,205,196 1,102,598 551,299 1,653,898 826,949 2,480,848 1,240,424 620,212 310,106 155,053 465,160 232,580 116,290 58,145 174,436 87,218 43,609 130,828 65,414 32,707 98,122 49,061 147,184 73,592 36,796 18,398 9,199 27,598 13,799 41,398 20,699 62,098 31,049 93,148 46,574 23,287 69,862 34,931 104,794 52,397 157,192 78,596 39,298 19,649 58,948 29,474

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