3,877,407

3² × 430823

Starting at 3,877,407, the Collatz iteration reaches 1 after 172 steps. The first transition is 11632222; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 430823

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 5,600,712

Proper Divisor Sum 1,723,305

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3877403 ← → #3877417

Radix Representation

Decimal	3877407
Binary	1110110010101000011111 (22 bits)
Octal	0o16625037
Hexadecimal	0x3B2A1F

Divisor Catalog (6)

1 3 9 430,823 1,292,469 3,877,407

Collatz Trajectory (172 steps to reach 1)

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

3,877,407 11,632,222 5,816,111 17,448,334 8,724,167 26,172,502 13,086,251 39,258,754 19,629,377 58,888,132 29,444,066 14,722,033 44,166,100 22,083,050 11,041,525 33,124,576 16,562,288 8,281,144 4,140,572 2,070,286 1,035,143 3,105,430 1,552,715 4,658,146 2,329,073 6,987,220 3,493,610 1,746,805 5,240,416 2,620,208 1,310,104 655,052 327,526 163,763 491,290 245,645 736,936 368,468 184,234 92,117 276,352 138,176 69,088 34,544 17,272 8,636 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604

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