4,357,620

2² × 3² × 5 × 43 × 563

Starting at 4,357,620, the Collatz iteration reaches 1 after 92 steps. The first transition is 2178810; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 43 × 563

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 13,549,536

Proper Divisor Sum 9,191,916

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4357609 ← → #4357637

Radix Representation

Decimal	4357620
Binary	10000100111110111110100 (23 bits)
Octal	0o20476764
Hexadecimal	0x427DF4

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 563 645 774 860 1,126 1,290 1,548 1,689 1,935 2,252 2,580 2,815 3,378 3,870 5,067 5,630 6,756 7,740 8,445 10,134 11,260 16,890 20,268 24,209 25,335 33,780 48,418 50,670 72,627 96,836 101,340 121,045 145,254

Collatz Trajectory (92 steps to reach 1)

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

4,357,620 2,178,810 1,089,405 3,268,216 1,634,108 817,054 408,527 1,225,582 612,791 1,838,374 919,187 2,757,562 1,378,781 4,136,344 2,068,172 1,034,086 517,043 1,551,130 775,565 2,326,696 1,163,348 581,674 290,837 872,512 436,256 218,128 109,064 54,532 27,266 13,633 40,900 20,450 10,225 30,676 15,338 7,669 23,008 11,504 5,752 2,876 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616

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