10,356,658

2 × 13³ × 2357

10,356,658 factors as 2 × 13^3 × 2357. Its 16 positive divisors give a proper-divisor sum of 6,479,462, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2 × 13^3 × 2357

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,836,120

Proper Divisor Sum 6,479,462

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #10356649 ← → #10356673

Radix Representation

Decimal	10356658
Binary	100111100000011110110010 (24 bits)
Octal	0o47403662
Hexadecimal	0x9E07B2

Divisor Catalog (16)

1 2 13 26 169 338 2,197 2,357 4,394 4,714 30,641 61,282 398,333 796,666 5,178,329 10,356,658

Collatz Trajectory (189 steps to reach 1)

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

10,356,658 5,178,329 15,534,988 7,767,494 3,883,747 11,651,242 5,825,621 17,476,864 8,738,432 4,369,216 2,184,608 1,092,304 546,152 273,076 136,538 68,269 204,808 102,404 51,202 25,601 76,804 38,402 19,201 57,604 28,802 14,401 43,204 21,602 10,801 32,404 16,202 8,101 24,304 12,152 6,076 3,038 1,519 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960

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