λ
Integer Codex

1,294,076

22 × 7 × 113 × 409
Abundant Even Composite

For 1,294,076, the 24 positive divisors have a total of 2,617,440. Removing 1,294,076 leaves 1,323,364, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 7 × 113 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,617,440
Proper Divisor Sum 1,323,364
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1294061 ← → #1294081

Radix Representation

Decimal 1294076
Binary 100111011111011111100 (21 bits)
Octal 0o4737374
Hexadecimal 0x13BEFC

Divisor Catalog (24)

1 2 4 7 14 28 113 226 409 452 791 818 1,582 1,636 2,863 3,164 5,726 11,452 46,217 92,434 184,868 323,519 647,038 1,294,076

Collatz Trajectory (142 steps to reach 1)

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

1,294,076 647,038 323,519 970,558 485,279 1,455,838 727,919 2,183,758 1,091,879 3,275,638 1,637,819 4,913,458 2,456,729 7,370,188 3,685,094 1,842,547 5,527,642 2,763,821 8,291,464 4,145,732 2,072,866 1,036,433 3,109,300 1,554,650 777,325 2,331,976 1,165,988 582,994 291,497 874,492 437,246 218,623 655,870 327,935 983,806 491,903 1,475,710 737,855 2,213,566 1,106,783 3,320,350 1,660,175 4,980,526 2,490,263 7,470,790 3,735,395 11,206,186 5,603,093 16,809,280 8,404,640 4,202,320 2,101,160 1,050,580 525,290 262,645 787,936 393,968 196,984 98,492 49,246

More profiles

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