90,002

2 × 11 × 4091

90,002 has digital root 2. The neighboring primes are 90001 and 90007; its proper-divisor sum differs from the starting integer by -32,692.

Prime Factor Structure

Factorization String 2 × 11 × 4091

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 147,312

Proper Divisor Sum 57,310

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #90001 ← → #90007

Radix Representation

Decimal	90002
Binary	10101111110010010 (17 bits)
Octal	0o257622
Hexadecimal	0x15F92

Divisor Catalog (8)

1 2 11 22 4,091 8,182 45,001 90,002

Collatz Trajectory (63 steps to reach 1)

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

90,002 45,001 135,004 67,502 33,751 101,254 50,627 151,882 75,941 227,824 113,912 56,956 28,478 14,239 42,718 21,359 64,078 32,039 96,118 48,059 144,178 72,089 216,268 108,134 54,067 162,202 81,101 243,304 121,652 60,826 30,413 91,240 45,620 22,810 11,405 34,216 17,108 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16

← Previous Integer #90,001 Browse Full Index Next Integer #90,003 →