1,907,361

3³ × 41 × 1723

1,907,361 factors as 3^3 × 41 × 1723. Its 16 positive divisors give a proper-divisor sum of 988,959, so this integer is deficient. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 3^3 × 41 × 1723

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,896,320

Proper Divisor Sum 988,959

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1907357 ← → #1907369

Radix Representation

Decimal	1907361
Binary	111010001101010100001 (21 bits)
Octal	0o7215241
Hexadecimal	0x1D1AA1

Divisor Catalog (16)

1 3 9 27 41 123 369 1,107 1,723 5,169 15,507 46,521 70,643 211,929 635,787 1,907,361

Collatz Trajectory (153 steps to reach 1)

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

1,907,361 5,722,084 2,861,042 1,430,521 4,291,564 2,145,782 1,072,891 3,218,674 1,609,337 4,828,012 2,414,006 1,207,003 3,621,010 1,810,505 5,431,516 2,715,758 1,357,879 4,073,638 2,036,819 6,110,458 3,055,229 9,165,688 4,582,844 2,291,422 1,145,711 3,437,134 1,718,567 5,155,702 2,577,851 7,733,554 3,866,777 11,600,332 5,800,166 2,900,083 8,700,250 4,350,125 13,050,376 6,525,188 3,262,594 1,631,297 4,893,892 2,446,946 1,223,473 3,670,420 1,835,210 917,605 2,752,816 1,376,408 688,204 344,102 172,051 516,154 258,077 774,232 387,116 193,558 96,779 290,338 145,169 435,508

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