λ
Harmonic Matrix

2,499,136

26 × 17 × 2297
Abundant Even Composite

2,499,136 has digital root 7. The neighboring primes are 2499121 and 2499137; its proper-divisor sum differs from the starting integer by 254,956.

Prime Factor Structure

Factorization String 2^6 × 17 × 2297
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 5,253,228
Proper Divisor Sum 2,754,092
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2499121 ← → #2499137

Radix Representation

Decimal 2499136
Binary 1001100010001001000000 (22 bits)
Octal 0o11421100
Hexadecimal 0x262240

Divisor Catalog (28)

1 2 4 8 16 17 32 34 64 68 136 272 544 1,088 2,297 4,594 9,188 18,376 36,752 39,049 73,504 78,098 147,008 156,196 312,392 624,784 1,249,568 2,499,136

Collatz Trajectory (68 steps to reach 1)

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

2,499,136 1,249,568 624,784 312,392 156,196 78,098 39,049 117,148 58,574 29,287 87,862 43,931 131,794 65,897 197,692 98,846 49,423 148,270 74,135 222,406 111,203 333,610 166,805 500,416 250,208 125,104 62,552 31,276 15,638 7,819 23,458 11,729 35,188 17,594 8,797 26,392 13,196 6,598 3,299 9,898 4,949 14,848 7,424 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13

More profiles

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