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Atlas › Integer Profiles › Node 8,570,272

8,570,272

25 × 107 × 2503
Deficient Even Composite

8,570,272 factors as 2^5 × 107 × 2503. Its 24 positive divisors give a proper-divisor sum of 8,466,944, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^5 × 107 × 2503
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,037,216
Proper Divisor Sum 8,466,944
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8570269 ← → #8570279

Radix Representation

Decimal 8570272
Binary 100000101100010110100000 (24 bits)
Octal 0o40542640
Hexadecimal 0x82C5A0

Divisor Catalog (24)

1 2 4 8 16 32 107 214 428 856 1,712 2,503 3,424 5,006 10,012 20,024 40,048 80,096 267,821 535,642 1,071,284 2,142,568 4,285,136 8,570,272

Collatz Trajectory (75 steps to reach 1)

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

8,570,272 4,285,136 2,142,568 1,071,284 535,642 267,821 803,464 401,732 200,866 100,433 301,300 150,650 75,325 225,976 112,988 56,494 28,247 84,742 42,371 127,114 63,557 190,672 95,336 47,668 23,834 11,917 35,752 17,876 8,938 4,469 13,408 6,704 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44

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