λ
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Atlas › Integer Profiles › Node 4,906,005

4,906,005

3 × 5 × 13 × 139 × 181
Deficient Odd Composite

4,906,005 factors as 3 × 5 × 13 × 139 × 181. Its 32 positive divisors give a proper-divisor sum of 3,655,275, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 139 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,561,280
Proper Divisor Sum 3,655,275
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4906003 ← → #4906007

Radix Representation

Decimal 4906005
Binary 10010101101110000010101 (23 bits)
Octal 0o22556025
Hexadecimal 0x4ADC15

Divisor Catalog (32)

1 3 5 13 15 39 65 139 181 195 417 543 695 905 1,807 2,085 2,353 2,715 5,421 7,059 9,035 11,765 25,159 27,105 35,295 75,477 125,795 327,067 377,385 981,201 1,635,335 4,906,005

Collatz Trajectory (175 steps to reach 1)

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

4,906,005 14,718,016 7,359,008 3,679,504 1,839,752 919,876 459,938 229,969 689,908 344,954 172,477 517,432 258,716 129,358 64,679 194,038 97,019 291,058 145,529 436,588 218,294 109,147 327,442 163,721 491,164 245,582 122,791 368,374 184,187 552,562 276,281 828,844 414,422 207,211 621,634 310,817 932,452 466,226 233,113 699,340 349,670 174,835 524,506 262,253 786,760 393,380 196,690 98,345 295,036 147,518 73,759 221,278 110,639 331,918 165,959 497,878 248,939 746,818 373,409 1,120,228

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