4,562,896

2⁴ × 13 × 21937

Starting at 4,562,896, the Collatz iteration reaches 1 after 180 steps. The first transition is 2281448; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 13 × 21937

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 9,521,092

Proper Divisor Sum 4,958,196

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #4562893 ← → #4562897

Radix Representation

Decimal	4562896
Binary	10001011001111111010000 (23 bits)
Octal	0o21317720
Hexadecimal	0x459FD0

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 21,937 43,874 87,748 175,496 285,181 350,992 570,362 1,140,724 2,281,448 4,562,896

Collatz Trajectory (180 steps to reach 1)

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

4,562,896 2,281,448 1,140,724 570,362 285,181 855,544 427,772 213,886 106,943 320,830 160,415 481,246 240,623 721,870 360,935 1,082,806 541,403 1,624,210 812,105 2,436,316 1,218,158 609,079 1,827,238 913,619 2,740,858 1,370,429 4,111,288 2,055,644 1,027,822 513,911 1,541,734 770,867 2,312,602 1,156,301 3,468,904 1,734,452 867,226 433,613 1,300,840 650,420 325,210 162,605 487,816 243,908 121,954 60,977 182,932 91,466 45,733 137,200 68,600 34,300 17,150 8,575 25,726 12,863 38,590 19,295 57,886 28,943

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