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Atlas › Integer Profiles › Node 16,196,002

16,196,002

2 × 17 × 23 × 139 × 149
Deficient Even Composite

16,196,002 factors as 2 × 17 × 23 × 139 × 149. Its 32 positive divisors give a proper-divisor sum of 11,019,998, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2 × 17 × 23 × 139 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 27,216,000
Proper Divisor Sum 11,019,998
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #16195987 ← → #16196009

Radix Representation

Decimal 16196002
Binary 111101110010000110100010 (24 bits)
Octal 0o75620642
Hexadecimal 0xF721A2

Divisor Catalog (32)

1 2 17 23 34 46 139 149 278 298 391 782 2,363 2,533 3,197 3,427 4,726 5,066 6,394 6,854 20,711 41,422 54,349 58,259 108,698 116,518 352,087 476,353 704,174 952,706 8,098,001 16,196,002

Collatz Trajectory (138 steps to reach 1)

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

16,196,002 8,098,001 24,294,004 12,147,002 6,073,501 18,220,504 9,110,252 4,555,126 2,277,563 6,832,690 3,416,345 10,249,036 5,124,518 2,562,259 7,686,778 3,843,389 11,530,168 5,765,084 2,882,542 1,441,271 4,323,814 2,161,907 6,485,722 3,242,861 9,728,584 4,864,292 2,432,146 1,216,073 3,648,220 1,824,110 912,055 2,736,166 1,368,083 4,104,250 2,052,125 6,156,376 3,078,188 1,539,094 769,547 2,308,642 1,154,321 3,462,964 1,731,482 865,741 2,597,224 1,298,612 649,306 324,653 973,960 486,980 243,490 121,745 365,236 182,618 91,309 273,928 136,964 68,482 34,241 102,724

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