λ
Integer Codex

6,249,958

2 × 11 × 132 × 412
Deficient Even Composite

For 6,249,958, the 36 positive divisors have a total of 11,351,124. Removing 6,249,958 leaves 5,101,166, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 11 × 13^2 × 41^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,351,124
Proper Divisor Sum 5,101,166
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6249953 ← → #6249959

Radix Representation

Decimal 6249958
Binary 10111110101110111100110 (23 bits)
Octal 0o27656746
Hexadecimal 0x5F5DE6

Divisor Catalog (36)

1 2 11 13 22 26 41 82 143 169 286 338 451 533 902 1,066 1,681 1,859 3,362 3,718 5,863 6,929 11,726 13,858 18,491 21,853 36,982 43,706 76,219 152,438 240,383 284,089 480,766 568,178 3,124,979 6,249,958

Collatz Trajectory (209 steps to reach 1)

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

6,249,958 3,124,979 9,374,938 4,687,469 14,062,408 7,031,204 3,515,602 1,757,801 5,273,404 2,636,702 1,318,351 3,955,054 1,977,527 5,932,582 2,966,291 8,898,874 4,449,437 13,348,312 6,674,156 3,337,078 1,668,539 5,005,618 2,502,809 7,508,428 3,754,214 1,877,107 5,631,322 2,815,661 8,446,984 4,223,492 2,111,746 1,055,873 3,167,620 1,583,810 791,905 2,375,716 1,187,858 593,929 1,781,788 890,894 445,447 1,336,342 668,171 2,004,514 1,002,257 3,006,772 1,503,386 751,693 2,255,080 1,127,540 563,770 281,885 845,656 422,828 211,414 105,707 317,122 158,561 475,684 237,842

More profiles

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