3,726,933

3 × 7 × 177473

Starting at 3,726,933, the Collatz iteration reaches 1 after 141 steps. The first transition is 11180800; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 177473

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,679,168

Proper Divisor Sum 1,952,235

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3726929 ← → #3726953

Radix Representation

Decimal	3726933
Binary	1110001101111001010101 (22 bits)
Octal	0o16157125
Hexadecimal	0x38DE55

Divisor Catalog (8)

1 3 7 21 177,473 532,419 1,242,311 3,726,933

Collatz Trajectory (141 steps to reach 1)

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

3,726,933 11,180,800 5,590,400 2,795,200 1,397,600 698,800 349,400 174,700 87,350 43,675 131,026 65,513 196,540 98,270 49,135 147,406 73,703 221,110 110,555 331,666 165,833 497,500 248,750 124,375 373,126 186,563 559,690 279,845 839,536 419,768 209,884 104,942 52,471 157,414 78,707 236,122 118,061 354,184 177,092 88,546 44,273 132,820 66,410 33,205 99,616 49,808 24,904 12,452 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650

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