λ
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Atlas › Integer Profiles › Node 18,041,697

18,041,697

34 × 192 × 617
Deficient Odd Composite

18,041,697 factors as 3^4 × 19^2 × 617. Its 30 positive divisors give a proper-divisor sum of 10,448,721, so this integer is deficient. The Collatz stopping time is 257 steps.

Prime Factor Structure

Factorization String 3^4 × 19^2 × 617
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 28,490,418
Proper Divisor Sum 10,448,721
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #18041671 ← → #18041711

Radix Representation

Decimal 18041697
Binary 1000100110100101101100001 (25 bits)
Octal 0o104645541
Hexadecimal 0x1134B61

Divisor Catalog (30)

1 3 9 19 27 57 81 171 361 513 617 1,083 1,539 1,851 3,249 5,553 9,747 11,723 16,659 29,241 35,169 49,977 105,507 222,737 316,521 668,211 949,563 2,004,633 6,013,899 18,041,697

Collatz Trajectory (257 steps to reach 1)

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

18,041,697 54,125,092 27,062,546 13,531,273 40,593,820 20,296,910 10,148,455 30,445,366 15,222,683 45,668,050 22,834,025 68,502,076 34,251,038 17,125,519 51,376,558 25,688,279 77,064,838 38,532,419 115,597,258 57,798,629 173,395,888 86,697,944 43,348,972 21,674,486 10,837,243 32,511,730 16,255,865 48,767,596 24,383,798 12,191,899 36,575,698 18,287,849 54,863,548 27,431,774 13,715,887 41,147,662 20,573,831 61,721,494 30,860,747 92,582,242 46,291,121 138,873,364 69,436,682 34,718,341 104,155,024 52,077,512 26,038,756 13,019,378 6,509,689 19,529,068 9,764,534 4,882,267 14,646,802 7,323,401 21,970,204 10,985,102 5,492,551 16,477,654 8,238,827 24,716,482

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