λ
Modular Archive

8,615,241

34 × 31 × 47 × 73
Deficient Odd Composite

The decimal integer 8,615,241 is 100000110111010101001001 in binary (24 bits), 40672511 in octal and 837549 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^4 × 31 × 47 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,753,344
Proper Divisor Sum 5,138,103
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8615237 ← → #8615261

Radix Representation

Decimal 8615241
Binary 100000110111010101001001 (24 bits)
Octal 0o40672511
Hexadecimal 0x837549

Divisor Catalog (40)

1 3 9 27 31 47 73 81 93 141 219 279 423 657 837 1,269 1,457 1,971 2,263 2,511 3,431 3,807 4,371 5,913 6,789 10,293 13,113 20,367 30,879 39,339 61,101 92,637 106,361 118,017 183,303 277,911 319,083 957,249 2,871,747 8,615,241

Collatz Trajectory (243 steps to reach 1)

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

8,615,241 25,845,724 12,922,862 6,461,431 19,384,294 9,692,147 29,076,442 14,538,221 43,614,664 21,807,332 10,903,666 5,451,833 16,355,500 8,177,750 4,088,875 12,266,626 6,133,313 18,399,940 9,199,970 4,599,985 13,799,956 6,899,978 3,449,989 10,349,968 5,174,984 2,587,492 1,293,746 646,873 1,940,620 970,310 485,155 1,455,466 727,733 2,183,200 1,091,600 545,800 272,900 136,450 68,225 204,676 102,338 51,169 153,508 76,754 38,377 115,132 57,566 28,783 86,350 43,175 129,526 64,763 194,290 97,145 291,436 145,718 72,859 218,578 109,289 327,868

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