5,340,810

2 × 3 × 5 × 53 × 3359

Starting at 5,340,810, the Collatz iteration reaches 1 after 118 steps. The first transition is 2670405; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 53 × 3359

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,063,680

Proper Divisor Sum 7,722,870

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #5340809 ← → #5340817

Radix Representation

Decimal	5340810
Binary	10100010111111010001010 (23 bits)
Octal	0o24277212
Hexadecimal	0x517E8A

Divisor Catalog (32)

1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1,590 3,359 6,718 10,077 16,795 20,154 33,590 50,385 100,770 178,027 356,054 534,081 890,135 1,068,162 1,780,270 2,670,405 5,340,810

Collatz Trajectory (118 steps to reach 1)

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

5,340,810 2,670,405 8,011,216 4,005,608 2,002,804 1,001,402 500,701 1,502,104 751,052 375,526 187,763 563,290 281,645 844,936 422,468 211,234 105,617 316,852 158,426 79,213 237,640 118,820 59,410 29,705 89,116 44,558 22,279 66,838 33,419 100,258 50,129 150,388 75,194 37,597 112,792 56,396 28,198 14,099 42,298 21,149 63,448 31,724 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884

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