λ
Sigma Notebook

6,437,321

112 × 53201
Deficient Odd Composite

6,437,321 is odd and not a perfect square. Its factorization is 11^2 × 53201 and its 6 divisors sum to 7,075,866.

Prime Factor Structure

Factorization String 11^2 × 53201
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 7,075,866
Proper Divisor Sum 638,545
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6437317 ← → #6437329

Radix Representation

Decimal 6437321
Binary 11000100011100111001001 (23 bits)
Octal 0o30434711
Hexadecimal 0x6239C9

Divisor Catalog (6)

1 11 121 53,201 585,211 6,437,321

Collatz Trajectory (147 steps to reach 1)

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

6,437,321 19,311,964 9,655,982 4,827,991 14,483,974 7,241,987 21,725,962 10,862,981 32,588,944 16,294,472 8,147,236 4,073,618 2,036,809 6,110,428 3,055,214 1,527,607 4,582,822 2,291,411 6,874,234 3,437,117 10,311,352 5,155,676 2,577,838 1,288,919 3,866,758 1,933,379 5,800,138 2,900,069 8,700,208 4,350,104 2,175,052 1,087,526 543,763 1,631,290 815,645 2,446,936 1,223,468 611,734 305,867 917,602 458,801 1,376,404 688,202 344,101 1,032,304 516,152 258,076 129,038 64,519 193,558 96,779 290,338 145,169 435,508 217,754 108,877 326,632 163,316 81,658 40,829

More profiles

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