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Atlas › Integer Profiles › Node 2,444,752

2,444,752

24 × 47 × 3251
Deficient Even Composite

2,444,752 factors as 2^4 × 47 × 3251. Its 20 positive divisors give a proper-divisor sum of 2,394,224, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^4 × 47 × 3251
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 4,838,976
Proper Divisor Sum 2,394,224
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2444737 ← → #2444759

Radix Representation

Decimal 2444752
Binary 1001010100110111010000 (22 bits)
Octal 0o11246720
Hexadecimal 0x254DD0

Divisor Catalog (20)

1 2 4 8 16 47 94 188 376 752 3,251 6,502 13,004 26,008 52,016 152,797 305,594 611,188 1,222,376 2,444,752

Collatz Trajectory (143 steps to reach 1)

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

2,444,752 1,222,376 611,188 305,594 152,797 458,392 229,196 114,598 57,299 171,898 85,949 257,848 128,924 64,462 32,231 96,694 48,347 145,042 72,521 217,564 108,782 54,391 163,174 81,587 244,762 122,381 367,144 183,572 91,786 45,893 137,680 68,840 34,420 17,210 8,605 25,816 12,908 6,454 3,227 9,682 4,841 14,524 7,262 3,631 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515

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