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Modular Archive

137,345

5 × 13 × 2113
Deficient Odd Composite

The decimal integer 137,345 is 100001100010000001 in binary (18 bits), 414201 in octal and 21881 in hexadecimal. Its digit sum is 23.

Prime Factor Structure

Factorization String 5 × 13 × 2113
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 177,576
Proper Divisor Sum 40,231
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #137341 ← → #137353

Radix Representation

Decimal 137345
Binary 100001100010000001 (18 bits)
Octal 0o414201
Hexadecimal 0x21881

Divisor Catalog (8)

1 5 13 65 2,113 10,565 27,469 137,345

Collatz Trajectory (113 steps to reach 1)

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

137,345 412,036 206,018 103,009 309,028 154,514 77,257 231,772 115,886 57,943 173,830 86,915 260,746 130,373 391,120 195,560 97,780 48,890 24,445 73,336 36,668 18,334 9,167 27,502 13,751 41,254 20,627 61,882 30,941 92,824 46,412 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372

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