λ
Sigma Notebook

1,002,357

32 × 111373
Deficient Odd Composite

1,002,357 is odd and not a perfect square. Its factorization is 3^2 × 111373 and its 6 divisors sum to 1,447,862.

Prime Factor Structure

Factorization String 3^2 × 111373
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,447,862
Proper Divisor Sum 445,505
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1002349 ← → #1002359

Radix Representation

Decimal 1002357
Binary 11110100101101110101 (20 bits)
Octal 0o3645565
Hexadecimal 0xF4B75

Divisor Catalog (6)

1 3 9 111,373 334,119 1,002,357

Collatz Trajectory (59 steps to reach 1)

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

1,002,357 3,007,072 1,503,536 751,768 375,884 187,942 93,971 281,914 140,957 422,872 211,436 105,718 52,859 158,578 79,289 237,868 118,934 59,467 178,402 89,201 267,604 133,802 66,901 200,704 100,352 50,176 25,088 12,544 6,272 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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