4,605,089

83 × 113 × 491

Starting at 4,605,089, the Collatz iteration reaches 1 after 224 steps. The first transition is 13815268; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 83 × 113 × 491

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,711,392

Proper Divisor Sum 106,303

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4605077 ← → #4605101

Radix Representation

Decimal	4605089
Binary	10001100100010010100001 (23 bits)
Octal	0o21442241
Hexadecimal	0x4644A1

Divisor Catalog (8)

1 83 113 491 9,379 40,753 55,483 4,605,089

Collatz Trajectory (224 steps to reach 1)

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

4,605,089 13,815,268 6,907,634 3,453,817 10,361,452 5,180,726 2,590,363 7,771,090 3,885,545 11,656,636 5,828,318 2,914,159 8,742,478 4,371,239 13,113,718 6,556,859 19,670,578 9,835,289 29,505,868 14,752,934 7,376,467 22,129,402 11,064,701 33,194,104 16,597,052 8,298,526 4,149,263 12,447,790 6,223,895 18,671,686 9,335,843 28,007,530 14,003,765 42,011,296 21,005,648 10,502,824 5,251,412 2,625,706 1,312,853 3,938,560 1,969,280 984,640 492,320 246,160 123,080 61,540 30,770 15,385 46,156 23,078 11,539 34,618 17,309 51,928 25,964 12,982 6,491 19,474 9,737 29,212

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