λ
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Atlas › Integer Profiles › Node 24,044,272

24,044,272

24 × 7 × 19 × 11299
Abundant Even Composite

24,044,272 factors as 2^4 × 7 × 19 × 11299. Its 40 positive divisors give a proper-divisor sum of 32,003,728, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 19 × 11299
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 56,048,000
Proper Divisor Sum 32,003,728
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #24044261 ← → #24044281

Radix Representation

Decimal 24044272
Binary 1011011101110001011110000 (25 bits)
Octal 0o133561360
Hexadecimal 0x16EE2F0

Divisor Catalog (40)

1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1,064 2,128 11,299 22,598 45,196 79,093 90,392 158,186 180,784 214,681 316,372 429,362 632,744 858,724 1,265,488 1,502,767 1,717,448 3,005,534 3,434,896 6,011,068 12,022,136 24,044,272

Collatz Trajectory (141 steps to reach 1)

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

24,044,272 12,022,136 6,011,068 3,005,534 1,502,767 4,508,302 2,254,151 6,762,454 3,381,227 10,143,682 5,071,841 15,215,524 7,607,762 3,803,881 11,411,644 5,705,822 2,852,911 8,558,734 4,279,367 12,838,102 6,419,051 19,257,154 9,628,577 28,885,732 14,442,866 7,221,433 21,664,300 10,832,150 5,416,075 16,248,226 8,124,113 24,372,340 12,186,170 6,093,085 18,279,256 9,139,628 4,569,814 2,284,907 6,854,722 3,427,361 10,282,084 5,141,042 2,570,521 7,711,564 3,855,782 1,927,891 5,783,674 2,891,837 8,675,512 4,337,756 2,168,878 1,084,439 3,253,318 1,626,659 4,879,978 2,439,989 7,319,968 3,659,984 1,829,992 914,996

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