3,761,871

3 × 349 × 3593

Starting at 3,761,871, the Collatz iteration reaches 1 after 133 steps. The first transition is 11285614; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 349 × 3593

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,031,600

Proper Divisor Sum 1,269,729

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3761861 ← → #3761893

Radix Representation

Decimal	3761871
Binary	1110010110011011001111 (22 bits)
Octal	0o16263317
Hexadecimal	0x3966CF

Divisor Catalog (8)

1 3 349 1,047 3,593 10,779 1,253,957 3,761,871

Collatz Trajectory (133 steps to reach 1)

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

3,761,871 11,285,614 5,642,807 16,928,422 8,464,211 25,392,634 12,696,317 38,088,952 19,044,476 9,522,238 4,761,119 14,283,358 7,141,679 21,425,038 10,712,519 32,137,558 16,068,779 48,206,338 24,103,169 72,309,508 36,154,754 18,077,377 54,232,132 27,116,066 13,558,033 40,674,100 20,337,050 10,168,525 30,505,576 15,252,788 7,626,394 3,813,197 11,439,592 5,719,796 2,859,898 1,429,949 4,289,848 2,144,924 1,072,462 536,231 1,608,694 804,347 2,413,042 1,206,521 3,619,564 1,809,782 904,891 2,714,674 1,357,337 4,072,012 2,036,006 1,018,003 3,054,010 1,527,005 4,581,016 2,290,508 1,145,254 572,627 1,717,882 858,941

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