λ
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Atlas › Integer Profiles › Node 10,001,151

10,001,151

37 × 17 × 269
Deficient Odd Composite

10,001,151 factors as 3^7 × 17 × 269. Its 32 positive divisors give a proper-divisor sum of 5,939,649, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 3^7 × 17 × 269
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,940,800
Proper Divisor Sum 5,939,649
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #10001119 ← → #10001203

Radix Representation

Decimal 10001151
Binary 100110001001101011111111 (24 bits)
Octal 0o46115377
Hexadecimal 0x989AFF

Divisor Catalog (32)

1 3 9 17 27 51 81 153 243 269 459 729 807 1,377 2,187 2,421 4,131 4,573 7,263 12,393 13,719 21,789 37,179 41,157 65,367 123,471 196,101 370,413 588,303 1,111,239 3,333,717 10,001,151

Collatz Trajectory (225 steps to reach 1)

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

10,001,151 30,003,454 15,001,727 45,005,182 22,502,591 67,507,774 33,753,887 101,261,662 50,630,831 151,892,494 75,946,247 227,838,742 113,919,371 341,758,114 170,879,057 512,637,172 256,318,586 128,159,293 384,477,880 192,238,940 96,119,470 48,059,735 144,179,206 72,089,603 216,268,810 108,134,405 324,403,216 162,201,608 81,100,804 40,550,402 20,275,201 60,825,604 30,412,802 15,206,401 45,619,204 22,809,602 11,404,801 34,214,404 17,107,202 8,553,601 25,660,804 12,830,402 6,415,201 19,245,604 9,622,802 4,811,401 14,434,204 7,217,102 3,608,551 10,825,654 5,412,827 16,238,482 8,119,241 24,357,724 12,178,862 6,089,431 18,268,294 9,134,147 27,402,442 13,701,221

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