3,681,207

3⁵ × 15149

Starting at 3,681,207, the Collatz iteration reaches 1 after 141 steps. The first transition is 11043622; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 15149

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,514,600

Proper Divisor Sum 1,833,393

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3681199 ← → #3681217

Radix Representation

Decimal	3681207
Binary	1110000010101110110111 (22 bits)
Octal	0o16025667
Hexadecimal	0x382BB7

Divisor Catalog (12)

1 3 9 27 81 243 15,149 45,447 136,341 409,023 1,227,069 3,681,207

Collatz Trajectory (141 steps to reach 1)

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

3,681,207 11,043,622 5,521,811 16,565,434 8,282,717 24,848,152 12,424,076 6,212,038 3,106,019 9,318,058 4,659,029 13,977,088 6,988,544 3,494,272 1,747,136 873,568 436,784 218,392 109,196 54,598 27,299 81,898 40,949 122,848 61,424 30,712 15,356 7,678 3,839 11,518 5,759 17,278 8,639 25,918 12,959 38,878 19,439 58,318 29,159 87,478 43,739 131,218 65,609 196,828 98,414 49,207 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558 62,279 186,838 93,419 280,258 140,129

← Previous Integer #3,681,206 Browse Full Index Next Integer #3,681,208 →