λ
Modular Archive

137,372

22 × 61 × 563
Deficient Even Composite

The decimal integer 137,372 is 100001100010011100 in binary (18 bits), 414234 in octal and 2189C in hexadecimal. Its digit sum is 23.

Prime Factor Structure

Factorization String 2^2 × 61 × 563
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 244,776
Proper Divisor Sum 107,404
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #137369 ← → #137383

Radix Representation

Decimal 137372
Binary 100001100010011100 (18 bits)
Octal 0o414234
Hexadecimal 0x2189C

Divisor Catalog (12)

1 2 4 61 122 244 563 1,126 2,252 34,343 68,686 137,372

Collatz Trajectory (175 steps to reach 1)

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

137,372 68,686 34,343 103,030 51,515 154,546 77,273 231,820 115,910 57,955 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146

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