689,690

2 × 5 × 17 × 4057

689,690 factors as 2 × 5 × 17 × 4057. Its 16 positive divisors give a proper-divisor sum of 625,102, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 4057

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,314,792

Proper Divisor Sum 625,102

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #689641 ← → #689693

Radix Representation

Decimal	689690
Binary	10101000011000011010 (20 bits)
Octal	0o2503032
Hexadecimal	0xA861A

Divisor Catalog (16)

1 2 5 10 17 34 85 170 4,057 8,114 20,285 40,570 68,969 137,938 344,845 689,690

Collatz Trajectory (92 steps to reach 1)

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

689,690 344,845 1,034,536 517,268 258,634 129,317 387,952 193,976 96,988 48,494 24,247 72,742 36,371 109,114 54,557 163,672 81,836 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

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #689,689 Browse Full Index Next Integer #689,691 →