4,002,003

3² × 47 × 9461

4,002,003 factors as 3^2 × 47 × 9461. Its 12 positive divisors give a proper-divisor sum of 1,902,285, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 3^2 × 47 × 9461

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,904,288

Proper Divisor Sum 1,902,285

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #4002001 ← → #4002013

Radix Representation

Decimal	4002003
Binary	1111010001000011010011 (22 bits)
Octal	0o17210323
Hexadecimal	0x3D10D3

Divisor Catalog (12)

1 3 9 47 141 423 9,461 28,383 85,149 444,667 1,334,001 4,002,003

Collatz Trajectory (92 steps to reach 1)

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

4,002,003 12,006,010 6,003,005 18,009,016 9,004,508 4,502,254 2,251,127 6,753,382 3,376,691 10,130,074 5,065,037 15,195,112 7,597,556 3,798,778 1,899,389 5,698,168 2,849,084 1,424,542 712,271 2,136,814 1,068,407 3,205,222 1,602,611 4,807,834 2,403,917 7,211,752 3,605,876 1,802,938 901,469 2,704,408 1,352,204 676,102 338,051 1,014,154 507,077 1,521,232 760,616 380,308 190,154 95,077 285,232 142,616 71,308 35,654 17,827 53,482 26,741 80,224 40,112 20,056 10,028 5,014 2,507 7,522 3,761 11,284 5,642 2,821 8,464 4,232

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