689,672

2³ × 86209

Starting at 689,672, the Collatz iteration reaches 1 after 92 steps. The first transition is 344836; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 86209

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,293,150

Proper Divisor Sum 603,478

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #689641 ← → #689693

Radix Representation

Decimal	689672
Binary	10101000011000001000 (20 bits)
Octal	0o2503010
Hexadecimal	0xA8608

Divisor Catalog (8)

1 2 4 8 86,209 172,418 344,836 689,672

Collatz Trajectory (92 steps to reach 1)

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

689,672 344,836 172,418 86,209 258,628 129,314 64,657 193,972 96,986 48,493 145,480 72,740 36,370 18,185 54,556 27,278 13,639 40,918 20,459 61,378 30,689 92,068 46,034 23,017 69,052 34,526 17,263 51,790 25,895 77,686 38,843 116,530 58,265 174,796 87,398 43,699 131,098 65,549 196,648 98,324 49,162 24,581 73,744 36,872 18,436 9,218 4,609 13,828 6,914 3,457 10,372 5,186 2,593 7,780 3,890 1,945 5,836 2,918 1,459 4,378

← Previous Integer #689,671 Browse Full Index Next Integer #689,673 →