1,041,957

3³ × 7 × 37 × 149

Starting at 1,041,957, the Collatz iteration reaches 1 after 108 steps. The first transition is 3125872; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 7 × 37 × 149

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,824,000

Proper Divisor Sum 782,043

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1041949 ← → #1041961

Radix Representation

Decimal	1041957
Binary	11111110011000100101 (20 bits)
Octal	0o3763045
Hexadecimal	0xFE625

Divisor Catalog (32)

1 3 7 9 21 27 37 63 111 149 189 259 333 447 777 999 1,043 1,341 2,331 3,129 4,023 5,513 6,993 9,387 16,539 28,161 38,591 49,617 115,773 148,851 347,319 1,041,957

Collatz Trajectory (108 steps to reach 1)

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

1,041,957 3,125,872 1,562,936 781,468 390,734 195,367 586,102 293,051 879,154 439,577 1,318,732 659,366 329,683 989,050 494,525 1,483,576 741,788 370,894 185,447 556,342 278,171 834,514 417,257 1,251,772 625,886 312,943 938,830 469,415 1,408,246 704,123 2,112,370 1,056,185 3,168,556 1,584,278 792,139 2,376,418 1,188,209 3,564,628 1,782,314 891,157 2,673,472 1,336,736 668,368 334,184 167,092 83,546 41,773 125,320 62,660 31,330 15,665 46,996 23,498 11,749 35,248 17,624 8,812 4,406 2,203 6,610

← Previous Integer #1,041,956 Browse Full Index Next Integer #1,041,958 →