λ
Integer Codex

9,268,960

25 × 5 × 19 × 3049
Abundant Even Composite

For 9,268,960, the 48 positive divisors have a total of 23,058,000. Removing 9,268,960 leaves 13,789,040, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 5 × 19 × 3049
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,058,000
Proper Divisor Sum 13,789,040
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9268957 ← → #9268997

Radix Representation

Decimal 9268960
Binary 100011010110111011100000 (24 bits)
Octal 0o43267340
Hexadecimal 0x8D6EE0

Divisor Catalog (48)

1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1,520 3,040 3,049 6,098 12,196 15,245 24,392 30,490 48,784 57,931 60,980 97,568 115,862 121,960 231,724 243,920 289,655 463,448 487,840 579,310 926,896 1,158,620 1,853,792 2,317,240 4,634,480 9,268,960

Collatz Trajectory (194 steps to reach 1)

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

9,268,960 4,634,480 2,317,240 1,158,620 579,310 289,655 868,966 434,483 1,303,450 651,725 1,955,176 977,588 488,794 244,397 733,192 366,596 183,298 91,649 274,948 137,474 68,737 206,212 103,106 51,553 154,660 77,330 38,665 115,996 57,998 28,999 86,998 43,499 130,498 65,249 195,748 97,874 48,937 146,812 73,406 36,703 110,110 55,055 165,166 82,583 247,750 123,875 371,626 185,813 557,440 278,720 139,360 69,680 34,840 17,420 8,710 4,355 13,066 6,533 19,600 9,800

More profiles

← Previous Integer #9,268,959 Browse Full Index Next Integer #9,268,961 →