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Atlas › Integer Profiles › Node 12,014,752

12,014,752

25 × 307 × 1223
Deficient Even Composite

12,014,752 factors as 2^5 × 307 × 1223. Its 24 positive divisors give a proper-divisor sum of 11,735,744, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^5 × 307 × 1223
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,750,496
Proper Divisor Sum 11,735,744
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #12014749 ← → #12014789

Radix Representation

Decimal 12014752
Binary 101101110101010010100000 (24 bits)
Octal 0o55652240
Hexadecimal 0xB754A0

Divisor Catalog (24)

1 2 4 8 16 32 307 614 1,223 1,228 2,446 2,456 4,892 4,912 9,784 9,824 19,568 39,136 375,461 750,922 1,501,844 3,003,688 6,007,376 12,014,752

Collatz Trajectory (197 steps to reach 1)

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

12,014,752 6,007,376 3,003,688 1,501,844 750,922 375,461 1,126,384 563,192 281,596 140,798 70,399 211,198 105,599 316,798 158,399 475,198 237,599 712,798 356,399 1,069,198 534,599 1,603,798 801,899 2,405,698 1,202,849 3,608,548 1,804,274 902,137 2,706,412 1,353,206 676,603 2,029,810 1,014,905 3,044,716 1,522,358 761,179 2,283,538 1,141,769 3,425,308 1,712,654 856,327 2,568,982 1,284,491 3,853,474 1,926,737 5,780,212 2,890,106 1,445,053 4,335,160 2,167,580 1,083,790 541,895 1,625,686 812,843 2,438,530 1,219,265 3,657,796 1,828,898 914,449 2,743,348

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