λ
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Atlas › Integer Profiles › Node 18,455,437

18,455,437

7 × 11 × 13 × 103 × 179
Deficient Odd Composite

18,455,437 factors as 7 × 11 × 13 × 103 × 179. Its 32 positive divisors give a proper-divisor sum of 6,704,243, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 7 × 11 × 13 × 103 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,159,680
Proper Divisor Sum 6,704,243
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #18455431 ← → #18455449

Radix Representation

Decimal 18455437
Binary 1000110011001101110001101 (25 bits)
Octal 0o106315615
Hexadecimal 0x1199B8D

Divisor Catalog (32)

1 7 11 13 77 91 103 143 179 721 1,001 1,133 1,253 1,339 1,969 2,327 7,931 9,373 13,783 14,729 16,289 18,437 25,597 103,103 129,059 179,179 202,807 239,681 1,419,649 1,677,767 2,636,491 18,455,437

Collatz Trajectory (120 steps to reach 1)

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

18,455,437 55,366,312 27,683,156 13,841,578 6,920,789 20,762,368 10,381,184 5,190,592 2,595,296 1,297,648 648,824 324,412 162,206 81,103 243,310 121,655 364,966 182,483 547,450 273,725 821,176 410,588 205,294 102,647 307,942 153,971 461,914 230,957 692,872 346,436 173,218 86,609 259,828 129,914 64,957 194,872 97,436 48,718 24,359 73,078 36,539 109,618 54,809 164,428 82,214 41,107 123,322 61,661 184,984 92,492 46,246 23,123 69,370 34,685 104,056 52,028 26,014 13,007 39,022 19,511

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