λ
Prime Ledger

2,510,833

132 × 83 × 179
Deficient Odd Composite

2,510,833 has the prime decomposition 13^2 × 83 × 179. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 83 × 179
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,766,960
Proper Divisor Sum 256,127
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2510803 ← → #2510843

Radix Representation

Decimal 2510833
Binary 1001100100111111110001 (22 bits)
Octal 0o11447761
Hexadecimal 0x264FF1

Divisor Catalog (12)

1 13 83 169 179 1,079 2,327 14,027 14,857 30,251 193,141 2,510,833

Collatz Trajectory (311 steps to reach 1)

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

2,510,833 7,532,500 3,766,250 1,883,125 5,649,376 2,824,688 1,412,344 706,172 353,086 176,543 529,630 264,815 794,446 397,223 1,191,670 595,835 1,787,506 893,753 2,681,260 1,340,630 670,315 2,010,946 1,005,473 3,016,420 1,508,210 754,105 2,262,316 1,131,158 565,579 1,696,738 848,369 2,545,108 1,272,554 636,277 1,908,832 954,416 477,208 238,604 119,302 59,651 178,954 89,477 268,432 134,216 67,108 33,554 16,777 50,332 25,166 12,583 37,750 18,875 56,626 28,313 84,940 42,470 21,235 63,706 31,853 95,560

More profiles

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