λ
Prime Ledger

2,949,759

32 × 487 × 673
Deficient Odd Composite

2,949,759 has the prime decomposition 3^2 × 487 × 673. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 487 × 673
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,275,856
Proper Divisor Sum 1,326,097
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #2949733 ← → #2949763

Radix Representation

Decimal 2949759
Binary 1011010000001001111111 (22 bits)
Octal 0o13201177
Hexadecimal 0x2D027F

Divisor Catalog (12)

1 3 9 487 673 1,461 2,019 4,383 6,057 327,751 983,253 2,949,759

Collatz Trajectory (195 steps to reach 1)

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

2,949,759 8,849,278 4,424,639 13,273,918 6,636,959 19,910,878 9,955,439 29,866,318 14,933,159 44,799,478 22,399,739 67,199,218 33,599,609 100,798,828 50,399,414 25,199,707 75,599,122 37,799,561 113,398,684 56,699,342 28,349,671 85,049,014 42,524,507 127,573,522 63,786,761 191,360,284 95,680,142 47,840,071 143,520,214 71,760,107 215,280,322 107,640,161 322,920,484 161,460,242 80,730,121 242,190,364 121,095,182 60,547,591 181,642,774 90,821,387 272,464,162 136,232,081 408,696,244 204,348,122 102,174,061 306,522,184 153,261,092 76,630,546 38,315,273 114,945,820 57,472,910 28,736,455 86,209,366 43,104,683 129,314,050 64,657,025 193,971,076 96,985,538 48,492,769 145,478,308

More profiles

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