λ
Modular Archive

2,652,117

3 × 132 × 5231
Deficient Odd Composite

The decimal integer 2,652,117 is 1010000111011111010101 in binary (22 bits), 12073725 in octal and 2877D5 in hexadecimal. Its digit sum is 24.

Prime Factor Structure

Factorization String 3 × 13^2 × 5231
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,829,824
Proper Divisor Sum 1,177,707
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2652113 ← → #2652131

Radix Representation

Decimal 2652117
Binary 1010000111011111010101 (22 bits)
Octal 0o12073725
Hexadecimal 0x2877D5

Divisor Catalog (12)

1 3 13 39 169 507 5,231 15,693 68,003 204,009 884,039 2,652,117

Collatz Trajectory (68 steps to reach 1)

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

2,652,117 7,956,352 3,978,176 1,989,088 994,544 497,272 248,636 124,318 62,159 186,478 93,239 279,718 139,859 419,578 209,789 629,368 314,684 157,342 78,671 236,014 118,007 354,022 177,011 531,034 265,517 796,552 398,276 199,138 99,569 298,708 149,354 74,677 224,032 112,016 56,008 28,004 14,002 7,001 21,004 10,502 5,251 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13

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