λ
Harmonic Matrix

3,162,479

29 × 167 × 653
Deficient Odd Composite

3,162,479 has digital root 5. The neighboring primes are 3162473 and 3162487; its proper-divisor sum differs from the starting integer by -3,028,798.

Prime Factor Structure

Factorization String 29 × 167 × 653
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,296,160
Proper Divisor Sum 133,681
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3162473 ← → #3162487

Radix Representation

Decimal 3162479
Binary 1100000100000101101111 (22 bits)
Octal 0o14040557
Hexadecimal 0x30416F

Divisor Catalog (8)

1 29 167 653 4,843 18,937 109,051 3,162,479

Collatz Trajectory (102 steps to reach 1)

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

3,162,479 9,487,438 4,743,719 14,231,158 7,115,579 21,346,738 10,673,369 32,020,108 16,010,054 8,005,027 24,015,082 12,007,541 36,022,624 18,011,312 9,005,656 4,502,828 2,251,414 1,125,707 3,377,122 1,688,561 5,065,684 2,532,842 1,266,421 3,799,264 1,899,632 949,816 474,908 237,454 118,727 356,182 178,091 534,274 267,137 801,412 400,706 200,353 601,060 300,530 150,265 450,796 225,398 112,699 338,098 169,049 507,148 253,574 126,787 380,362 190,181 570,544 285,272 142,636 71,318 35,659 106,978 53,489 160,468 80,234 40,117 120,352

More profiles

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