λ
Prime Ledger

4,157,509

4157509
Deficient Odd Prime

4,157,509 has the prime decomposition 4157509. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 4157509
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,157,510
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4157501 ← → #4157513

Radix Representation

Decimal 4157509
Binary 1111110111000001000101 (22 bits)
Octal 0o17670105
Hexadecimal 0x3F7045

Divisor Catalog (2)

Collatz Trajectory (185 steps to reach 1)

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

4,157,509 12,472,528 6,236,264 3,118,132 1,559,066 779,533 2,338,600 1,169,300 584,650 292,325 876,976 438,488 219,244 109,622 54,811 164,434 82,217 246,652 123,326 61,663 184,990 92,495 277,486 138,743 416,230 208,115 624,346 312,173 936,520 468,260 234,130 117,065 351,196 175,598 87,799 263,398 131,699 395,098 197,549 592,648 296,324 148,162 74,081 222,244 111,122 55,561 166,684 83,342 41,671 125,014 62,507 187,522 93,761 281,284 140,642 70,321 210,964 105,482 52,741 158,224

More profiles

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