1,324,827

3² × 7 × 17 × 1237

1,324,827 has digital root 9. The neighboring primes are 1324819 and 1324831; its proper-divisor sum differs from the starting integer by -332,118.

Prime Factor Structure

Factorization String 3^2 × 7 × 17 × 1237

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,317,536

Proper Divisor Sum 992,709

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1324819 ← → #1324831

Radix Representation

Decimal	1324827
Binary	101000011011100011011 (21 bits)
Octal	0o5033433
Hexadecimal	0x14371B

Divisor Catalog (24)

1 3 7 9 17 21 51 63 119 153 357 1,071 1,237 3,711 8,659 11,133 21,029 25,977 63,087 77,931 147,203 189,261 441,609 1,324,827

Collatz Trajectory (93 steps to reach 1)

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

1,324,827 3,974,482 1,987,241 5,961,724 2,980,862 1,490,431 4,471,294 2,235,647 6,706,942 3,353,471 10,060,414 5,030,207 15,090,622 7,545,311 22,635,934 11,317,967 33,953,902 16,976,951 50,930,854 25,465,427 76,396,282 38,198,141 114,594,424 57,297,212 28,648,606 14,324,303 42,972,910 21,486,455 64,459,366 32,229,683 96,689,050 48,344,525 145,033,576 72,516,788 36,258,394 18,129,197 54,387,592 27,193,796 13,596,898 6,798,449 20,395,348 10,197,674 5,098,837 15,296,512 7,648,256 3,824,128 1,912,064 956,032 478,016 239,008 119,504 59,752 29,876 14,938 7,469 22,408 11,204 5,602 2,801 8,404

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