3,767,101

13 × 23 × 43 × 293

3,767,101 factors as 13 × 23 × 43 × 293. Its 16 positive divisors give a proper-divisor sum of 579,395, so this integer is deficient. The Collatz stopping time is 247 steps.

Prime Factor Structure

Factorization String 13 × 23 × 43 × 293

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,346,496

Proper Divisor Sum 579,395

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3767087 ← → #3767117

Radix Representation

Decimal	3767101
Binary	1110010111101100111101 (22 bits)
Octal	0o16275475
Hexadecimal	0x397B3D

Divisor Catalog (16)

1 13 23 43 293 299 559 989 3,809 6,739 12,599 12,857 87,607 163,787 289,777 3,767,101

Collatz Trajectory (247 steps to reach 1)

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

3,767,101 11,301,304 5,650,652 2,825,326 1,412,663 4,237,990 2,118,995 6,356,986 3,178,493 9,535,480 4,767,740 2,383,870 1,191,935 3,575,806 1,787,903 5,363,710 2,681,855 8,045,566 4,022,783 12,068,350 6,034,175 18,102,526 9,051,263 27,153,790 13,576,895 40,730,686 20,365,343 61,096,030 30,548,015 91,644,046 45,822,023 137,466,070 68,733,035 206,199,106 103,099,553 309,298,660 154,649,330 77,324,665 231,973,996 115,986,998 57,993,499 173,980,498 86,990,249 260,970,748 130,485,374 65,242,687 195,728,062 97,864,031 293,592,094 146,796,047 440,388,142 220,194,071 660,582,214 330,291,107 990,873,322 495,436,661 1,486,309,984 743,154,992 371,577,496 185,788,748

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