21,002,012

2² × 5250503

21,002,012 factors as 2^2 × 5250503. Its 6 positive divisors give a proper-divisor sum of 15,751,516, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^2 × 5250503

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 36,753,528

Proper Divisor Sum 15,751,516

Digit Sum / Digital Root 8 (Root: 8)

Adjacent Primes #21001991 ← → #21002039

Radix Representation

Decimal	21002012
Binary	1010000000111011100011100 (25 bits)
Octal	0o120073434
Hexadecimal	0x140771C

Divisor Catalog (6)

1 2 4 5,250,503 10,501,006 21,002,012

Collatz Trajectory (128 steps to reach 1)

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

21,002,012 10,501,006 5,250,503 15,751,510 7,875,755 23,627,266 11,813,633 35,440,900 17,720,450 8,860,225 26,580,676 13,290,338 6,645,169 19,935,508 9,967,754 4,983,877 14,951,632 7,475,816 3,737,908 1,868,954 934,477 2,803,432 1,401,716 700,858 350,429 1,051,288 525,644 262,822 131,411 394,234 197,117 591,352 295,676 147,838 73,919 221,758 110,879 332,638 166,319 498,958 249,479 748,438 374,219 1,122,658 561,329 1,683,988 841,994 420,997 1,262,992 631,496 315,748 157,874 78,937 236,812 118,406 59,203 177,610 88,805 266,416 133,208

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