λ
Harmonic Matrix

2,832,131

2832131
Deficient Odd Prime

2,832,131 has digital root 2. The neighboring primes are 2832127 and 2832133; its proper-divisor sum differs from the starting integer by -2,832,130.

Prime Factor Structure

Factorization String 2832131
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,832,132
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2832127 ← → #2832133

Radix Representation

Decimal 2832131
Binary 1010110011011100000011 (22 bits)
Octal 0o12633403
Hexadecimal 0x2B3703

Divisor Catalog (2)

Collatz Trajectory (200 steps to reach 1)

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

2,832,131 8,496,394 4,248,197 12,744,592 6,372,296 3,186,148 1,593,074 796,537 2,389,612 1,194,806 597,403 1,792,210 896,105 2,688,316 1,344,158 672,079 2,016,238 1,008,119 3,024,358 1,512,179 4,536,538 2,268,269 6,804,808 3,402,404 1,701,202 850,601 2,551,804 1,275,902 637,951 1,913,854 956,927 2,870,782 1,435,391 4,306,174 2,153,087 6,459,262 3,229,631 9,688,894 4,844,447 14,533,342 7,266,671 21,800,014 10,900,007 32,700,022 16,350,011 49,050,034 24,525,017 73,575,052 36,787,526 18,393,763 55,181,290 27,590,645 82,771,936 41,385,968 20,692,984 10,346,492 5,173,246 2,586,623 7,759,870 3,879,935

More profiles

← Previous Integer #2,832,130 Browse Full Index Next Integer #2,832,132 →