λ
Modular Archive

615,645

32 × 5 × 13681
Deficient Odd Composite

The decimal integer 615,645 is 10010110010011011101 in binary (20 bits), 2262335 in octal and 964DD in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^2 × 5 × 13681
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,067,196
Proper Divisor Sum 451,551
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #615623 ← → #615661

Radix Representation

Decimal 615645
Binary 10010110010011011101 (20 bits)
Octal 0o2262335
Hexadecimal 0x964DD

Divisor Catalog (12)

1 3 5 9 15 45 13,681 41,043 68,405 123,129 205,215 615,645

Collatz Trajectory (234 steps to reach 1)

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

615,645 1,846,936 923,468 461,734 230,867 692,602 346,301 1,038,904 519,452 259,726 129,863 389,590 194,795 584,386 292,193 876,580 438,290 219,145 657,436 328,718 164,359 493,078 246,539 739,618 369,809 1,109,428 554,714 277,357 832,072 416,036 208,018 104,009 312,028 156,014 78,007 234,022 117,011 351,034 175,517 526,552 263,276 131,638 65,819 197,458 98,729 296,188 148,094 74,047 222,142 111,071 333,214 166,607 499,822 249,911 749,734 374,867 1,124,602 562,301 1,686,904 843,452

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