4,147,808

2⁵ × 7 × 18517

Starting at 4,147,808, the Collatz iteration reaches 1 after 198 steps. The first transition is 2073904; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7 × 18517

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,333,072

Proper Divisor Sum 5,185,264

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4147799 ← → #4147837

Radix Representation

Decimal	4147808
Binary	1111110100101001100000 (22 bits)
Octal	0o17645140
Hexadecimal	0x3F4A60

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 18,517 37,034 74,068 129,619 148,136 259,238 296,272 518,476 592,544 1,036,952 2,073,904 4,147,808

Collatz Trajectory (198 steps to reach 1)

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

4,147,808 2,073,904 1,036,952 518,476 259,238 129,619 388,858 194,429 583,288 291,644 145,822 72,911 218,734 109,367 328,102 164,051 492,154 246,077 738,232 369,116 184,558 92,279 276,838 138,419 415,258 207,629 622,888 311,444 155,722 77,861 233,584 116,792 58,396 29,198 14,599 43,798 21,899 65,698 32,849 98,548 49,274 24,637 73,912 36,956 18,478 9,239 27,718 13,859 41,578 20,789 62,368 31,184 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731

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