8,800,720

2⁴ × 5 × 23 × 4783

Starting at 8,800,720, the Collatz iteration reaches 1 after 194 steps. The first transition is 4400360; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 23 × 4783

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 21,355,776

Proper Divisor Sum 12,555,056

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8800657 ← → #8800721

Radix Representation

Decimal	8800720
Binary	100001100100100111010000 (24 bits)
Octal	0o41444720
Hexadecimal	0x8649D0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1,840 4,783 9,566 19,132 23,915 38,264 47,830 76,528 95,660 110,009 191,320 220,018 382,640 440,036 550,045 880,072 1,100,090 1,760,144 2,200,180 4,400,360 8,800,720

Collatz Trajectory (194 steps to reach 1)

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

8,800,720 4,400,360 2,200,180 1,100,090 550,045 1,650,136 825,068 412,534 206,267 618,802 309,401 928,204 464,102 232,051 696,154 348,077 1,044,232 522,116 261,058 130,529 391,588 195,794 97,897 293,692 146,846 73,423 220,270 110,135 330,406 165,203 495,610 247,805 743,416 371,708 185,854 92,927 278,782 139,391 418,174 209,087 627,262 313,631 940,894 470,447 1,411,342 705,671 2,117,014 1,058,507 3,175,522 1,587,761 4,763,284 2,381,642 1,190,821 3,572,464 1,786,232 893,116 446,558 223,279 669,838 334,919

← Previous Integer #8,800,719 Browse Full Index Next Integer #8,800,721 →