λ
Harmonic Matrix

572,959

281 × 2039
Deficient Odd Composite

572,959 has digital root 1. The neighboring primes are 572941 and 572963; its proper-divisor sum differs from the starting integer by -570,638.

Prime Factor Structure

Factorization String 281 × 2039
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 575,280
Proper Divisor Sum 2,321
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #572941 ← → #572963

Radix Representation

Decimal 572959
Binary 10001011111000011111 (20 bits)
Octal 0o2137037
Hexadecimal 0x8BE1F

Divisor Catalog (4)

1 281 2,039 572,959

Collatz Trajectory (102 steps to reach 1)

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

572,959 1,718,878 859,439 2,578,318 1,289,159 3,867,478 1,933,739 5,801,218 2,900,609 8,701,828 4,350,914 2,175,457 6,526,372 3,263,186 1,631,593 4,894,780 2,447,390 1,223,695 3,671,086 1,835,543 5,506,630 2,753,315 8,259,946 4,129,973 12,389,920 6,194,960 3,097,480 1,548,740 774,370 387,185 1,161,556 580,778 290,389 871,168 435,584 217,792 108,896 54,448 27,224 13,612 6,806 3,403 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607

More profiles

← Previous Integer #572,958 Browse Full Index Next Integer #572,960 →