λ
Harmonic Matrix

2,929,859

2929859
Deficient Odd Prime

2,929,859 has digital root 8. The neighboring primes are 2929813 and 2929867; its proper-divisor sum differs from the starting integer by -2,929,858.

Prime Factor Structure

Factorization String 2929859
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,929,860
Proper Divisor Sum 1
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #2929813 ← → #2929867

Radix Representation

Decimal 2929859
Binary 1011001011010011000011 (22 bits)
Octal 0o13132303
Hexadecimal 0x2CB4C3

Divisor Catalog (2)

1 2,929,859

Collatz Trajectory (182 steps to reach 1)

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

2,929,859 8,789,578 4,394,789 13,184,368 6,592,184 3,296,092 1,648,046 824,023 2,472,070 1,236,035 3,708,106 1,854,053 5,562,160 2,781,080 1,390,540 695,270 347,635 1,042,906 521,453 1,564,360 782,180 391,090 195,545 586,636 293,318 146,659 439,978 219,989 659,968 329,984 164,992 82,496 41,248 20,624 10,312 5,156 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104

More profiles

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