λ
Harmonic Matrix

1,273,679

11 × 89 × 1301
Deficient Odd Composite

1,273,679 has digital root 8. The neighboring primes are 1273673 and 1273681; its proper-divisor sum differs from the starting integer by -1,141,198.

Prime Factor Structure

Factorization String 11 × 89 × 1301
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,406,160
Proper Divisor Sum 132,481
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1273673 ← → #1273681

Radix Representation

Decimal 1273679
Binary 100110110111101001111 (21 bits)
Octal 0o4667517
Hexadecimal 0x136F4F

Divisor Catalog (8)

1 11 89 979 1,301 14,311 115,789 1,273,679

Collatz Trajectory (204 steps to reach 1)

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

1,273,679 3,821,038 1,910,519 5,731,558 2,865,779 8,597,338 4,298,669 12,896,008 6,448,004 3,224,002 1,612,001 4,836,004 2,418,002 1,209,001 3,627,004 1,813,502 906,751 2,720,254 1,360,127 4,080,382 2,040,191 6,120,574 3,060,287 9,180,862 4,590,431 13,771,294 6,885,647 20,656,942 10,328,471 30,985,414 15,492,707 46,478,122 23,239,061 69,717,184 34,858,592 17,429,296 8,714,648 4,357,324 2,178,662 1,089,331 3,267,994 1,633,997 4,901,992 2,450,996 1,225,498 612,749 1,838,248 919,124 459,562 229,781 689,344 344,672 172,336 86,168 43,084 21,542 10,771 32,314 16,157 48,472

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