7,591,872

2⁶ × 3 × 39541

Starting at 7,591,872, the Collatz iteration reaches 1 after 129 steps. The first transition is 3795936; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 39541

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 20,087,336

Proper Divisor Sum 12,495,464

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7591841 ← → #7591873

Radix Representation

Decimal	7591872
Binary	11100111101011111000000 (23 bits)
Octal	0o34753700
Hexadecimal	0x73D7C0

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 39,541 79,082 118,623 158,164 237,246 316,328 474,492 632,656 948,984 1,265,312 1,897,968 2,530,624 3,795,936 7,591,872

Collatz Trajectory (129 steps to reach 1)

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

7,591,872 3,795,936 1,897,968 948,984 474,492 237,246 118,623 355,870 177,935 533,806 266,903 800,710 400,355 1,201,066 600,533 1,801,600 900,800 450,400 225,200 112,600 56,300 28,150 14,075 42,226 21,113 63,340 31,670 15,835 47,506 23,753 71,260 35,630 17,815 53,446 26,723 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340

← Previous Integer #7,591,871 Browse Full Index Next Integer #7,591,873 →