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Atlas › Integer Profiles › Node 13,919,521

13,919,521

7 × 11 × 180773
Deficient Odd Composite

13,919,521 factors as 7 × 11 × 180773. Its 8 positive divisors give a proper-divisor sum of 3,434,783, so this integer is deficient. The Collatz stopping time is 47 steps.

Prime Factor Structure

Factorization String 7 × 11 × 180773
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 17,354,304
Proper Divisor Sum 3,434,783
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #13919513 ← → #13919537

Radix Representation

Decimal 13919521
Binary 110101000110010100100001 (24 bits)
Octal 0o65062441
Hexadecimal 0xD46521

Divisor Catalog (8)

1 7 11 77 180,773 1,265,411 1,988,503 13,919,521

Collatz Trajectory (47 steps to reach 1)

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

13,919,521 41,758,564 20,879,282 10,439,641 31,318,924 15,659,462 7,829,731 23,489,194 11,744,597 35,233,792 17,616,896 8,808,448 4,404,224 2,202,112 1,101,056 550,528 275,264 137,632 68,816 34,408 17,204 8,602 4,301 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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