8,605,719

3² × 37 × 43 × 601

Starting at 8,605,719, the Collatz iteration reaches 1 after 181 steps. The first transition is 25817158; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 37 × 43 × 601

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,085,072

Proper Divisor Sum 4,479,353

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8605691 ← → #8605733

Radix Representation

Decimal	8605719
Binary	100000110101000000010111 (24 bits)
Octal	0o40650027
Hexadecimal	0x835017

Divisor Catalog (24)

1 3 9 37 43 111 129 333 387 601 1,591 1,803 4,773 5,409 14,319 22,237 25,843 66,711 77,529 200,133 232,587 956,191 2,868,573 8,605,719

Collatz Trajectory (181 steps to reach 1)

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

8,605,719 25,817,158 12,908,579 38,725,738 19,362,869 58,088,608 29,044,304 14,522,152 7,261,076 3,630,538 1,815,269 5,445,808 2,722,904 1,361,452 680,726 340,363 1,021,090 510,545 1,531,636 765,818 382,909 1,148,728 574,364 287,182 143,591 430,774 215,387 646,162 323,081 969,244 484,622 242,311 726,934 363,467 1,090,402 545,201 1,635,604 817,802 408,901 1,226,704 613,352 306,676 153,338 76,669 230,008 115,004 57,502 28,751 86,254 43,127 129,382 64,691 194,074 97,037 291,112 145,556 72,778 36,389 109,168 54,584

← Previous Integer #8,605,718 Browse Full Index Next Integer #8,605,720 →