3,877,727

7 × 553961

Starting at 3,877,727, the Collatz iteration reaches 1 after 154 steps. The first transition is 11633182; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 553961

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,431,696

Proper Divisor Sum 553,969

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #3877703 ← → #3877733

Radix Representation

Decimal	3877727
Binary	1110110010101101011111 (22 bits)
Octal	0o16625537
Hexadecimal	0x3B2B5F

Divisor Catalog (4)

1 7 553,961 3,877,727

Collatz Trajectory (154 steps to reach 1)

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

3,877,727 11,633,182 5,816,591 17,449,774 8,724,887 26,174,662 13,087,331 39,261,994 19,630,997 58,892,992 29,446,496 14,723,248 7,361,624 3,680,812 1,840,406 920,203 2,760,610 1,380,305 4,140,916 2,070,458 1,035,229 3,105,688 1,552,844 776,422 388,211 1,164,634 582,317 1,746,952 873,476 436,738 218,369 655,108 327,554 163,777 491,332 245,666 122,833 368,500 184,250 92,125 276,376 138,188 69,094 34,547 103,642 51,821 155,464 77,732 38,866 19,433 58,300 29,150 14,575 43,726 21,863 65,590 32,795 98,386 49,193 147,580

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