4,562,320

2⁴ × 5 × 7 × 8147

4,562,320 factors as 2^4 × 5 × 7 × 8147. Its 40 positive divisors give a proper-divisor sum of 7,561,904, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 8147

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 12,124,224

Proper Divisor Sum 7,561,904

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4562317 ← → #4562321

Radix Representation

Decimal	4562320
Binary	10001011001110110010000 (23 bits)
Octal	0o21316620
Hexadecimal	0x459D90

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 8,147 16,294 32,588 40,735 57,029 65,176 81,470 114,058 130,352 162,940 228,116 285,145 325,880 456,232 570,290 651,760 912,464 1,140,580 2,281,160 4,562,320

Collatz Trajectory (105 steps to reach 1)

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

4,562,320 2,281,160 1,140,580 570,290 285,145 855,436 427,718 213,859 641,578 320,789 962,368 481,184 240,592 120,296 60,148 30,074 15,037 45,112 22,556 11,278 5,639 16,918 8,459 25,378 12,689 38,068 19,034 9,517 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

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