900,396

2² × 3⁴ × 7 × 397

900,396 has digital root 9. The neighboring primes are 900349 and 900397; its proper-divisor sum differs from the starting integer by 896,056.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 7 × 397

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 2,696,848

Proper Divisor Sum 1,796,452

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #900349 ← → #900397

Radix Representation

Decimal	900396
Binary	11011011110100101100 (20 bits)
Octal	0o3336454
Hexadecimal	0xDBD2C

Divisor Catalog (60)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 397 567 756 794 1,134 1,191 1,588 2,268 2,382 2,779 3,573 4,764 5,558 7,146 8,337 10,719 11,116 14,292 16,674 21,438 25,011 32,157 33,348 42,876 50,022 64,314 75,033 100,044 128,628 150,066 225,099 300,132 450,198 900,396

Collatz Trajectory (113 steps to reach 1)

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

900,396 450,198 225,099 675,298 337,649 1,012,948 506,474 253,237 759,712 379,856 189,928 94,964 47,482 23,741 71,224 35,612 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958

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