λ
Modular Archive

252,637

7 × 11 × 17 × 193
Deficient Odd Composite

The decimal integer 252,637 is 111101101011011101 in binary (18 bits), 755335 in octal and 3DADD in hexadecimal. Its digit sum is 25.

Prime Factor Structure

Factorization String 7 × 11 × 17 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 335,232
Proper Divisor Sum 82,595
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #252617 ← → #252641

Radix Representation

Decimal 252637
Binary 111101101011011101 (18 bits)
Octal 0o755335
Hexadecimal 0x3DADD

Divisor Catalog (16)

1 7 11 17 77 119 187 193 1,309 1,351 2,123 3,281 14,861 22,967 36,091 252,637

Collatz Trajectory (119 steps to reach 1)

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

252,637 757,912 378,956 189,478 94,739 284,218 142,109 426,328 213,164 106,582 53,291 159,874 79,937 239,812 119,906 59,953 179,860 89,930 44,965 134,896 67,448 33,724 16,862 8,431 25,294 12,647 37,942 18,971 56,914 28,457 85,372 42,686 21,343 64,030 32,015 96,046 48,023 144,070 72,035 216,106 108,053 324,160 162,080 81,040 40,520 20,260 10,130 5,065 15,196 7,598 3,799 11,398 5,699 17,098 8,549 25,648 12,824 6,412 3,206 1,603

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