1,607,748

2² × 3 × 133979

Starting at 1,607,748, the Collatz iteration reaches 1 after 114 steps. The first transition is 803874; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 133979

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,751,440

Proper Divisor Sum 2,143,692

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1607747 ← → #1607773

Radix Representation

Decimal	1607748
Binary	110001000100001000100 (21 bits)
Octal	0o6104104
Hexadecimal	0x188844

Divisor Catalog (12)

1 2 3 4 6 12 133,979 267,958 401,937 535,916 803,874 1,607,748

Collatz Trajectory (114 steps to reach 1)

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

1,607,748 803,874 401,937 1,205,812 602,906 301,453 904,360 452,180 226,090 113,045 339,136 169,568 84,784 42,392 21,196 10,598 5,299 15,898 7,949 23,848 11,924 5,962 2,981 8,944 4,472 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708

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