4,190,003

47 × 59 × 1511

Starting at 4,190,003, the Collatz iteration reaches 1 after 136 steps. The first transition is 12570010; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 47 × 59 × 1511

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,354,560

Proper Divisor Sum 164,557

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #4189987 ← → #4190009

Radix Representation

Decimal	4190003
Binary	1111111110111100110011 (22 bits)
Octal	0o17767463
Hexadecimal	0x3FEF33

Divisor Catalog (8)

1 47 59 1,511 2,773 71,017 89,149 4,190,003

Collatz Trajectory (136 steps to reach 1)

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

4,190,003 12,570,010 6,285,005 18,855,016 9,427,508 4,713,754 2,356,877 7,070,632 3,535,316 1,767,658 883,829 2,651,488 1,325,744 662,872 331,436 165,718 82,859 248,578 124,289 372,868 186,434 93,217 279,652 139,826 69,913 209,740 104,870 52,435 157,306 78,653 235,960 117,980 58,990 29,495 88,486 44,243 132,730 66,365 199,096 99,548 49,774 24,887 74,662 37,331 111,994 55,997 167,992 83,996 41,998 20,999 62,998 31,499 94,498 47,249 141,748 70,874 35,437 106,312 53,156 26,578

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