1,842,829

19 × 23 × 4217

Starting at 1,842,829, the Collatz iteration reaches 1 after 202 steps. The first transition is 5528488; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 19 × 23 × 4217

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,024,640

Proper Divisor Sum 181,811

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #1842811 ← → #1842839

Radix Representation

Decimal	1842829
Binary	111000001111010001101 (21 bits)
Octal	0o7017215
Hexadecimal	0x1C1E8D

Divisor Catalog (8)

1 19 23 437 4,217 80,123 96,991 1,842,829

Collatz Trajectory (202 steps to reach 1)

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

1,842,829 5,528,488 2,764,244 1,382,122 691,061 2,073,184 1,036,592 518,296 259,148 129,574 64,787 194,362 97,181 291,544 145,772 72,886 36,443 109,330 54,665 163,996 81,998 40,999 122,998 61,499 184,498 92,249 276,748 138,374 69,187 207,562 103,781 311,344 155,672 77,836 38,918 19,459 58,378 29,189 87,568 43,784 21,892 10,946 5,473 16,420 8,210 4,105 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949

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