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Atlas › Integer Profiles › Node 21,771,508

21,771,508

22 × 11 × 479 × 1033
Deficient Even Composite

21,771,508 factors as 2^2 × 11 × 479 × 1033. Its 24 positive divisors give a proper-divisor sum of 19,919,372, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 479 × 1033
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 41,690,880
Proper Divisor Sum 19,919,372
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #21771487 ← → #21771521

Radix Representation

Decimal 21771508
Binary 1010011000011010011110100 (25 bits)
Octal 0o123032364
Hexadecimal 0x14C34F4

Divisor Catalog (24)

1 2 4 11 22 44 479 958 1,033 1,916 2,066 4,132 5,269 10,538 11,363 21,076 22,726 45,452 494,807 989,614 1,979,228 5,442,877 10,885,754 21,771,508

Collatz Trajectory (159 steps to reach 1)

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

21,771,508 10,885,754 5,442,877 16,328,632 8,164,316 4,082,158 2,041,079 6,123,238 3,061,619 9,184,858 4,592,429 13,777,288 6,888,644 3,444,322 1,722,161 5,166,484 2,583,242 1,291,621 3,874,864 1,937,432 968,716 484,358 242,179 726,538 363,269 1,089,808 544,904 272,452 136,226 68,113 204,340 102,170 51,085 153,256 76,628 38,314 19,157 57,472 28,736 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646

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