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Atlas › Integer Profiles › Node 21,452,072

21,452,072

23 × 73 × 109 × 337
Deficient Even Composite

21,452,072 factors as 2^3 × 73 × 109 × 337. Its 32 positive divisors give a proper-divisor sum of 19,817,728, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^3 × 73 × 109 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 41,269,800
Proper Divisor Sum 19,817,728
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #21452071 ← → #21452087

Radix Representation

Decimal 21452072
Binary 1010001110101010100101000 (25 bits)
Octal 0o121652450
Hexadecimal 0x1475528

Divisor Catalog (32)

1 2 4 8 73 109 146 218 292 337 436 584 674 872 1,348 2,696 7,957 15,914 24,601 31,828 36,733 49,202 63,656 73,466 98,404 146,932 196,808 293,864 2,681,509 5,363,018 10,726,036 21,452,072

Collatz Trajectory (159 steps to reach 1)

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

21,452,072 10,726,036 5,363,018 2,681,509 8,044,528 4,022,264 2,011,132 1,005,566 502,783 1,508,350 754,175 2,262,526 1,131,263 3,393,790 1,696,895 5,090,686 2,545,343 7,636,030 3,818,015 11,454,046 5,727,023 17,181,070 8,590,535 25,771,606 12,885,803 38,657,410 19,328,705 57,986,116 28,993,058 14,496,529 43,489,588 21,744,794 10,872,397 32,617,192 16,308,596 8,154,298 4,077,149 12,231,448 6,115,724 3,057,862 1,528,931 4,586,794 2,293,397 6,880,192 3,440,096 1,720,048 860,024 430,012 215,006 107,503 322,510 161,255 483,766 241,883 725,650 362,825 1,088,476 544,238 272,119 816,358

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