λ
Integer Codex

9,077,464

23 × 11 × 29 × 3557
Abundant Even Composite

For 9,077,464, the 32 positive divisors have a total of 19,213,200. Removing 9,077,464 leaves 10,135,736, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 11 × 29 × 3557
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,213,200
Proper Divisor Sum 10,135,736
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9077423 ← → #9077489

Radix Representation

Decimal 9077464
Binary 100010101000001011011000 (24 bits)
Octal 0o42501330
Hexadecimal 0x8A82D8

Divisor Catalog (32)

1 2 4 8 11 22 29 44 58 88 116 232 319 638 1,276 2,552 3,557 7,114 14,228 28,456 39,127 78,254 103,153 156,508 206,306 313,016 412,612 825,224 1,134,683 2,269,366 4,538,732 9,077,464

Collatz Trajectory (119 steps to reach 1)

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

9,077,464 4,538,732 2,269,366 1,134,683 3,404,050 1,702,025 5,106,076 2,553,038 1,276,519 3,829,558 1,914,779 5,744,338 2,872,169 8,616,508 4,308,254 2,154,127 6,462,382 3,231,191 9,693,574 4,846,787 14,540,362 7,270,181 21,810,544 10,905,272 5,452,636 2,726,318 1,363,159 4,089,478 2,044,739 6,134,218 3,067,109 9,201,328 4,600,664 2,300,332 1,150,166 575,083 1,725,250 862,625 2,587,876 1,293,938 646,969 1,940,908 970,454 485,227 1,455,682 727,841 2,183,524 1,091,762 545,881 1,637,644 818,822 409,411 1,228,234 614,117 1,842,352 921,176 460,588 230,294 115,147 345,442

More profiles

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