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Atlas › Integer Profiles › Node 44,892,003

44,892,003

3 × 13 × 19 × 47 × 1289
Deficient Odd Composite

44,892,003 factors as 3 × 13 × 19 × 47 × 1289. Its 32 positive divisors give a proper-divisor sum of 24,458,397, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 3 × 13 × 19 × 47 × 1289
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 69,350,400
Proper Divisor Sum 24,458,397
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #44891983 ← → #44892037

Radix Representation

Decimal 44892003
Binary 10101011001111111101100011 (26 bits)
Octal 0o253177543
Hexadecimal 0x2ACFF63

Divisor Catalog (32)

1 3 13 19 39 47 57 141 247 611 741 893 1,289 1,833 2,679 3,867 11,609 16,757 24,491 34,827 50,271 60,583 73,473 181,749 318,383 787,579 955,149 1,151,077 2,362,737 3,453,231 14,964,001 44,892,003

Collatz Trajectory (204 steps to reach 1)

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

44,892,003 134,676,010 67,338,005 202,014,016 101,007,008 50,503,504 25,251,752 12,625,876 6,312,938 3,156,469 9,469,408 4,734,704 2,367,352 1,183,676 591,838 295,919 887,758 443,879 1,331,638 665,819 1,997,458 998,729 2,996,188 1,498,094 749,047 2,247,142 1,123,571 3,370,714 1,685,357 5,056,072 2,528,036 1,264,018 632,009 1,896,028 948,014 474,007 1,422,022 711,011 2,133,034 1,066,517 3,199,552 1,599,776 799,888 399,944 199,972 99,986 49,993 149,980 74,990 37,495 112,486 56,243 168,730 84,365 253,096 126,548 63,274 31,637 94,912 47,456

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