1,440,725

5² × 11 × 13² × 31

Starting at 1,440,725, the Collatz iteration reaches 1 after 168 steps. The first transition is 4322176; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 11 × 13^2 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 2,178,432

Proper Divisor Sum 737,707

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1440707 ← → #1440727

Radix Representation

Decimal	1440725
Binary	101011111101111010101 (21 bits)
Octal	0o5375725
Hexadecimal	0x15FBD5

Divisor Catalog (36)

1 5 11 13 25 31 55 65 143 155 169 275 325 341 403 715 775 845 1,705 1,859 2,015 3,575 4,225 4,433 5,239 8,525 9,295 10,075 22,165 26,195 46,475 57,629 110,825 130,975 288,145 1,440,725

Collatz Trajectory (168 steps to reach 1)

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

1,440,725 4,322,176 2,161,088 1,080,544 540,272 270,136 135,068 67,534 33,767 101,302 50,651 151,954 75,977 227,932 113,966 56,983 170,950 85,475 256,426 128,213 384,640 192,320 96,160 48,080 24,040 12,020 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152

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