λ
Harmonic Matrix

3,018,931

97 × 31123
Deficient Odd Composite

3,018,931 has digital root 7. The neighboring primes are 3018919 and 3018947; its proper-divisor sum differs from the starting integer by -2,987,710.

Prime Factor Structure

Factorization String 97 × 31123
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,050,152
Proper Divisor Sum 31,221
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3018919 ← → #3018947

Radix Representation

Decimal 3018931
Binary 1011100001000010110011 (22 bits)
Octal 0o13410263
Hexadecimal 0x2E10B3

Divisor Catalog (4)

1 97 31,123 3,018,931

Collatz Trajectory (257 steps to reach 1)

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

3,018,931 9,056,794 4,528,397 13,585,192 6,792,596 3,396,298 1,698,149 5,094,448 2,547,224 1,273,612 636,806 318,403 955,210 477,605 1,432,816 716,408 358,204 179,102 89,551 268,654 134,327 402,982 201,491 604,474 302,237 906,712 453,356 226,678 113,339 340,018 170,009 510,028 255,014 127,507 382,522 191,261 573,784 286,892 143,446 71,723 215,170 107,585 322,756 161,378 80,689 242,068 121,034 60,517 181,552 90,776 45,388 22,694 11,347 34,042 17,021 51,064 25,532 12,766 6,383 19,150

More profiles

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