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Atlas › Integer Profiles › Node 7,572,015

7,572,015

33 × 5 × 11 × 5099
Deficient Odd Composite

7,572,015 factors as 3^3 × 5 × 11 × 5099. Its 32 positive divisors give a proper-divisor sum of 7,115,985, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 11 × 5099
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,688,000
Proper Divisor Sum 7,115,985
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7571989 ← → #7572043

Radix Representation

Decimal 7572015
Binary 11100111000101000101111 (23 bits)
Octal 0o34705057
Hexadecimal 0x738A2F

Divisor Catalog (32)

1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1,485 5,099 15,297 25,495 45,891 56,089 76,485 137,673 168,267 229,455 280,445 504,801 688,365 841,335 1,514,403 2,524,005 7,572,015

Collatz Trajectory (204 steps to reach 1)

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

7,572,015 22,716,046 11,358,023 34,074,070 17,037,035 51,111,106 25,555,553 76,666,660 38,333,330 19,166,665 57,499,996 28,749,998 14,374,999 43,124,998 21,562,499 64,687,498 32,343,749 97,031,248 48,515,624 24,257,812 12,128,906 6,064,453 18,193,360 9,096,680 4,548,340 2,274,170 1,137,085 3,411,256 1,705,628 852,814 426,407 1,279,222 639,611 1,918,834 959,417 2,878,252 1,439,126 719,563 2,158,690 1,079,345 3,238,036 1,619,018 809,509 2,428,528 1,214,264 607,132 303,566 151,783 455,350 227,675 683,026 341,513 1,024,540 512,270 256,135 768,406 384,203 1,152,610 576,305 1,728,916

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