3,118,491

3² × 157 × 2207

Starting at 3,118,491, the Collatz iteration reaches 1 after 182 steps. The first transition is 9355474; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 157 × 2207

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,535,232

Proper Divisor Sum 1,416,741

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3118481 ← → #3118499

Radix Representation

Decimal	3118491
Binary	1011111001010110011011 (22 bits)
Octal	0o13712633
Hexadecimal	0x2F959B

Divisor Catalog (12)

1 3 9 157 471 1,413 2,207 6,621 19,863 346,499 1,039,497 3,118,491

Collatz Trajectory (182 steps to reach 1)

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

3,118,491 9,355,474 4,677,737 14,033,212 7,016,606 3,508,303 10,524,910 5,262,455 15,787,366 7,893,683 23,681,050 11,840,525 35,521,576 17,760,788 8,880,394 4,440,197 13,320,592 6,660,296 3,330,148 1,665,074 832,537 2,497,612 1,248,806 624,403 1,873,210 936,605 2,809,816 1,404,908 702,454 351,227 1,053,682 526,841 1,580,524 790,262 395,131 1,185,394 592,697 1,778,092 889,046 444,523 1,333,570 666,785 2,000,356 1,000,178 500,089 1,500,268 750,134 375,067 1,125,202 562,601 1,687,804 843,902 421,951 1,265,854 632,927 1,898,782 949,391 2,848,174 1,424,087 4,272,262

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