λ
Harmonic Matrix

3,100,252

22 × 775063
Deficient Even Composite

3,100,252 has digital root 4. The neighboring primes are 3100231 and 3100259; its proper-divisor sum differs from the starting integer by -775,056.

Prime Factor Structure

Factorization String 2^2 × 775063
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,425,448
Proper Divisor Sum 2,325,196
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #3100231 ← → #3100259

Radix Representation

Decimal 3100252
Binary 1011110100111001011100 (22 bits)
Octal 0o13647134
Hexadecimal 0x2F4E5C

Divisor Catalog (6)

1 2 4 775,063 1,550,126 3,100,252

Collatz Trajectory (107 steps to reach 1)

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

3,100,252 1,550,126 775,063 2,325,190 1,162,595 3,487,786 1,743,893 5,231,680 2,615,840 1,307,920 653,960 326,980 163,490 81,745 245,236 122,618 61,309 183,928 91,964 45,982 22,991 68,974 34,487 103,462 51,731 155,194 77,597 232,792 116,396 58,198 29,099 87,298 43,649 130,948 65,474 32,737 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623 82,870 41,435 124,306 62,153 186,460 93,230 46,615 139,846 69,923 209,770 104,885 314,656 157,328 78,664 39,332 19,666

More profiles

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