λ
Ratio Atlas

5,135,501

7 × 71 × 10333
Deficient Odd Composite

5,135,501 factors as 7 × 71 × 10333. Its 8 positive divisors give a proper-divisor sum of 816,883, so this integer is deficient. The Collatz stopping time is 56 steps.

Prime Factor Structure

Factorization String 7 × 71 × 10333
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,952,384
Proper Divisor Sum 816,883
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #5135443 ← → #5135503

Radix Representation

Decimal 5135501
Binary 10011100101110010001101 (23 bits)
Octal 0o23456215
Hexadecimal 0x4E5C8D

Divisor Catalog (8)

1 7 71 497 10,333 72,331 733,643 5,135,501

Collatz Trajectory (56 steps to reach 1)

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

5,135,501 15,406,504 7,703,252 3,851,626 1,925,813 5,777,440 2,888,720 1,444,360 722,180 361,090 180,545 541,636 270,818 135,409 406,228 203,114 101,557 304,672 152,336 76,168 38,084 19,042 9,521 28,564 14,282 7,141 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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