1,836,205

5 × 7 × 23 × 2281

Starting at 1,836,205, the Collatz iteration reaches 1 after 202 steps. The first transition is 5508616; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 23 × 2281

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,628,864

Proper Divisor Sum 792,659

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1836157 ← → #1836239

Radix Representation

Decimal	1836205
Binary	111000000010010101101 (21 bits)
Octal	0o7002255
Hexadecimal	0x1C04AD

Divisor Catalog (16)

1 5 7 23 35 115 161 805 2,281 11,405 15,967 52,463 79,835 262,315 367,241 1,836,205

Collatz Trajectory (202 steps to reach 1)

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

1,836,205 5,508,616 2,754,308 1,377,154 688,577 2,065,732 1,032,866 516,433 1,549,300 774,650 387,325 1,161,976 580,988 290,494 145,247 435,742 217,871 653,614 326,807 980,422 490,211 1,470,634 735,317 2,205,952 1,102,976 551,488 275,744 137,872 68,936 34,468 17,234 8,617 25,852 12,926 6,463 19,390 9,695 29,086 14,543 43,630 21,815 65,446 32,723 98,170 49,085 147,256 73,628 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786 69,893

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