λ
Harmonic Matrix

1,212,115

5 × 149 × 1627
Deficient Odd Composite

1,212,115 has digital root 4. The neighboring primes are 1212103 and 1212119; its proper-divisor sum differs from the starting integer by -959,030.

Prime Factor Structure

Factorization String 5 × 149 × 1627
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,465,200
Proper Divisor Sum 253,085
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #1212103 ← → #1212119

Radix Representation

Decimal 1212115
Binary 100100111111011010011 (21 bits)
Octal 0o4477323
Hexadecimal 0x127ED3

Divisor Catalog (8)

1 5 149 745 1,627 8,135 242,423 1,212,115

Collatz Trajectory (204 steps to reach 1)

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

1,212,115 3,636,346 1,818,173 5,454,520 2,727,260 1,363,630 681,815 2,045,446 1,022,723 3,068,170 1,534,085 4,602,256 2,301,128 1,150,564 575,282 287,641 862,924 431,462 215,731 647,194 323,597 970,792 485,396 242,698 121,349 364,048 182,024 91,012 45,506 22,753 68,260 34,130 17,065 51,196 25,598 12,799 38,398 19,199 57,598 28,799 86,398 43,199 129,598 64,799 194,398 97,199 291,598 145,799 437,398 218,699 656,098 328,049 984,148 492,074 246,037 738,112 369,056 184,528 92,264 46,132

More profiles

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