λ
Ratio Atlas

2,272,492

22 × 17 × 23 × 1453
Deficient Even Composite

2,272,492 factors as 2^2 × 17 × 23 × 1453. Its 24 positive divisors give a proper-divisor sum of 2,124,404, so this integer is deficient. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 23 × 1453
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,396,896
Proper Divisor Sum 2,124,404
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2272483 ← → #2272493

Radix Representation

Decimal 2272492
Binary 1000101010110011101100 (22 bits)
Octal 0o10526354
Hexadecimal 0x22ACEC

Divisor Catalog (24)

1 2 4 17 23 34 46 68 92 391 782 1,453 1,564 2,906 5,812 24,701 33,419 49,402 66,838 98,804 133,676 568,123 1,136,246 2,272,492

Collatz Trajectory (223 steps to reach 1)

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

2,272,492 1,136,246 568,123 1,704,370 852,185 2,556,556 1,278,278 639,139 1,917,418 958,709 2,876,128 1,438,064 719,032 359,516 179,758 89,879 269,638 134,819 404,458 202,229 606,688 303,344 151,672 75,836 37,918 18,959 56,878 28,439 85,318 42,659 127,978 63,989 191,968 95,984 47,992 23,996 11,998 5,999 17,998 8,999 26,998 13,499 40,498 20,249 60,748 30,374 15,187 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506

More profiles

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