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21,480,464

24 × 107 × 12547
Deficient Even Composite

21,480,464 factors as 2^4 × 107 × 12547. Its 20 positive divisors give a proper-divisor sum of 20,530,240, so this integer is deficient. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^4 × 107 × 12547
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 42,010,704
Proper Divisor Sum 20,530,240
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #21480451 ← → #21480467

Radix Representation

Decimal 21480464
Binary 1010001111100010000010000 (25 bits)
Octal 0o121742020
Hexadecimal 0x147C410

Divisor Catalog (20)

1 2 4 8 16 107 214 428 856 1,712 12,547 25,094 50,188 100,376 200,752 1,342,529 2,685,058 5,370,116 10,740,232 21,480,464

Collatz Trajectory (102 steps to reach 1)

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

21,480,464 10,740,232 5,370,116 2,685,058 1,342,529 4,027,588 2,013,794 1,006,897 3,020,692 1,510,346 755,173 2,265,520 1,132,760 566,380 283,190 141,595 424,786 212,393 637,180 318,590 159,295 477,886 238,943 716,830 358,415 1,075,246 537,623 1,612,870 806,435 2,419,306 1,209,653 3,628,960 1,814,480 907,240 453,620 226,810 113,405 340,216 170,108 85,054 42,527 127,582 63,791 191,374 95,687 287,062 143,531 430,594 215,297 645,892 322,946 161,473 484,420 242,210 121,105 363,316 181,658 90,829 272,488 136,244

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