λ
Math Directory

5,360,732

22 × 13 × 103091
Deficient Even Composite

5,360,732 factors as 2^2 × 13 × 103091. Its 12 positive divisors give a proper-divisor sum of 4,742,284, so this integer is deficient. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 103091
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,103,016
Proper Divisor Sum 4,742,284
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5360731 ← → #5360753

Radix Representation

Decimal 5360732
Binary 10100011100110001011100 (23 bits)
Octal 0o24346134
Hexadecimal 0x51CC5C

Divisor Catalog (12)

1 2 4 13 26 52 103,091 206,182 412,364 1,340,183 2,680,366 5,360,732

Collatz Trajectory (263 steps to reach 1)

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

5,360,732 2,680,366 1,340,183 4,020,550 2,010,275 6,030,826 3,015,413 9,046,240 4,523,120 2,261,560 1,130,780 565,390 282,695 848,086 424,043 1,272,130 636,065 1,908,196 954,098 477,049 1,431,148 715,574 357,787 1,073,362 536,681 1,610,044 805,022 402,511 1,207,534 603,767 1,811,302 905,651 2,716,954 1,358,477 4,075,432 2,037,716 1,018,858 509,429 1,528,288 764,144 382,072 191,036 95,518 47,759 143,278 71,639 214,918 107,459 322,378 161,189 483,568 241,784 120,892 60,446 30,223 90,670 45,335 136,006 68,003 204,010

More profiles

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