1,208,025

3² × 5² × 7 × 13 × 59

1,208,025 has digital root 9. The neighboring primes are 1208023 and 1208027; its proper-divisor sum differs from the starting integer by 292,110.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 7 × 13 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,708,160

Proper Divisor Sum 1,500,135

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1208023 ← → #1208027

Radix Representation

Decimal	1208025
Binary	100100110111011011001 (21 bits)
Octal	0o4467331
Hexadecimal	0x126ED9

Divisor Catalog (60 of 72)

1 3 5 7 9 13 15 21 25 35 39 45 59 63 65 75 91 105 117 175 177 195 225 273 295 315 325 413 455 525 531 585 767 819 885 975 1,239 1,365 1,475 1,575 2,065 2,275 2,301 2,655 2,925 3,717 3,835 4,095 4,425 5,369 6,195 6,825 6,903 10,325 11,505 13,275 16,107 18,585 19,175 20,475

Collatz Trajectory (160 steps to reach 1)

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

1,208,025 3,624,076 1,812,038 906,019 2,718,058 1,359,029 4,077,088 2,038,544 1,019,272 509,636 254,818 127,409 382,228 191,114 95,557 286,672 143,336 71,668 35,834 17,917 53,752 26,876 13,438 6,719 20,158 10,079 30,238 15,119 45,358 22,679 68,038 34,019 102,058 51,029 153,088 76,544 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215

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