5,125,920

2⁵ × 3 × 5 × 59 × 181

Starting at 5,125,920, the Collatz iteration reaches 1 after 175 steps. The first transition is 2562960; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 59 × 181

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 16,511,040

Proper Divisor Sum 11,385,120

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #5125919 ← → #5125921

Radix Representation

Decimal	5125920
Binary	10011100011011100100000 (23 bits)
Octal	0o23433440
Hexadecimal	0x4E3720

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 80 96 118 120 160 177 181 236 240 295 354 362 472 480 543 590 708 724 885 905 944 1,086 1,180 1,416 1,448 1,770 1,810 1,888 2,172 2,360 2,715 2,832 2,896 3,540 3,620 4,344 4,720 5,430 5,664 5,792 7,080

Collatz Trajectory (175 steps to reach 1)

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

5,125,920 2,562,960 1,281,480 640,740 320,370 160,185 480,556 240,278 120,139 360,418 180,209 540,628 270,314 135,157 405,472 202,736 101,368 50,684 25,342 12,671 38,014 19,007 57,022 28,511 85,534 42,767 128,302 64,151 192,454 96,227 288,682 144,341 433,024 216,512 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422

← Previous Integer #5,125,919 Browse Full Index Next Integer #5,125,921 →