4,613,440

2⁶ × 5 × 13 × 1109

4,613,440 is even and not a perfect square. Its factorization is 2^6 × 5 × 13 × 1109 and its 56 divisors sum to 11,841,480.

Prime Factor Structure

Factorization String 2^6 × 5 × 13 × 1109

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 11,841,480

Proper Divisor Sum 7,228,040

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4613437 ← → #4613449

Radix Representation

Decimal	4613440
Binary	10001100110010101000000 (23 bits)
Octal	0o21462500
Hexadecimal	0x466540

Divisor Catalog (56)

1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1,040 1,109 2,080 2,218 4,160 4,436 5,545 8,872 11,090 14,417 17,744 22,180 28,834 35,488 44,360 57,668 70,976 72,085 88,720 115,336 144,170 177,440 230,672 288,340 354,880 461,344 576,680 922,688 1,153,360 2,306,720 4,613,440

Collatz Trajectory (48 steps to reach 1)

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

4,613,440 2,306,720 1,153,360 576,680 288,340 144,170 72,085 216,256 108,128 54,064 27,032 13,516 6,758 3,379 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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