4,251,613

1997 × 2129

Starting at 4,251,613, the Collatz iteration reaches 1 after 167 steps. The first transition is 12754840; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 1997 × 2129

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,255,740

Proper Divisor Sum 4,127

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4251601 ← → #4251617

Radix Representation

Decimal	4251613
Binary	10000001101111111011101 (23 bits)
Octal	0o20157735
Hexadecimal	0x40DFDD

Divisor Catalog (4)

1 1,997 2,129 4,251,613

Collatz Trajectory (167 steps to reach 1)

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

4,251,613 12,754,840 6,377,420 3,188,710 1,594,355 4,783,066 2,391,533 7,174,600 3,587,300 1,793,650 896,825 2,690,476 1,345,238 672,619 2,017,858 1,008,929 3,026,788 1,513,394 756,697 2,270,092 1,135,046 567,523 1,702,570 851,285 2,553,856 1,276,928 638,464 319,232 159,616 79,808 39,904 19,952 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125

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