λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,756,504

9,756,504

23 × 33 × 17 × 2657
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 17 × 2657
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 28,706,400
Proper Divisor Sum 18,949,896
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9756503 ← → #9756517

Radix Representation

Decimal 9756504
Binary 100101001101111101011000 (24 bits)
Octal 0o45157530
Hexadecimal 0x94DF58

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1,224 1,836 2,657 3,672 5,314 7,971 10,628 15,942 21,256 23,913 31,884 45,169 47,826 63,768 71,739 90,338 95,652 135,507 143,478 180,676 191,304 271,014 286,956 361,352 406,521 542,028 573,912 813,042 1,084,056 1,219,563 1,626,084

Collatz Trajectory (145 steps to reach 1)

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

9,756,504 4,878,252 2,439,126 1,219,563 3,658,690 1,829,345 5,488,036 2,744,018 1,372,009 4,116,028 2,058,014 1,029,007 3,087,022 1,543,511 4,630,534 2,315,267 6,945,802 3,472,901 10,418,704 5,209,352 2,604,676 1,302,338 651,169 1,953,508 976,754 488,377 1,465,132 732,566 366,283 1,098,850 549,425 1,648,276 824,138 412,069 1,236,208 618,104 309,052 154,526 77,263 231,790 115,895 347,686 173,843 521,530 260,765 782,296 391,148 195,574 97,787 293,362 146,681 440,044 220,022 110,011 330,034 165,017 495,052 247,526 123,763 371,290

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,756,503 Browse Full Index Next Integer #9,756,505 →