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Atlas › Integer Profiles › Node 18,096,560

18,096,560

24 × 5 × 31 × 7297
Abundant Even Composite

18,096,560 factors as 2^4 × 5 × 31 × 7297. Its 40 positive divisors give a proper-divisor sum of 25,341,136, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 31 × 7297
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 43,437,696
Proper Divisor Sum 25,341,136
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #18096557 ← → #18096577

Radix Representation

Decimal 18096560
Binary 1000101000010000110110000 (25 bits)
Octal 0o105020660
Hexadecimal 0x11421B0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1,240 2,480 7,297 14,594 29,188 36,485 58,376 72,970 116,752 145,940 226,207 291,880 452,414 583,760 904,828 1,131,035 1,809,656 2,262,070 3,619,312 4,524,140 9,048,280 18,096,560

Collatz Trajectory (133 steps to reach 1)

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

18,096,560 9,048,280 4,524,140 2,262,070 1,131,035 3,393,106 1,696,553 5,089,660 2,544,830 1,272,415 3,817,246 1,908,623 5,725,870 2,862,935 8,588,806 4,294,403 12,883,210 6,441,605 19,324,816 9,662,408 4,831,204 2,415,602 1,207,801 3,623,404 1,811,702 905,851 2,717,554 1,358,777 4,076,332 2,038,166 1,019,083 3,057,250 1,528,625 4,585,876 2,292,938 1,146,469 3,439,408 1,719,704 859,852 429,926 214,963 644,890 322,445 967,336 483,668 241,834 120,917 362,752 181,376 90,688 45,344 22,672 11,336 5,668 2,834 1,417 4,252 2,126 1,063 3,190

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