λ
Harmonic Matrix

2,628,272

24 × 164267
Deficient Even Composite

2,628,272 has digital root 2. The neighboring primes are 2628229 and 2628277; its proper-divisor sum differs from the starting integer by -164,236.

Prime Factor Structure

Factorization String 2^4 × 164267
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 5,092,308
Proper Divisor Sum 2,464,036
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2628229 ← → #2628277

Radix Representation

Decimal 2628272
Binary 1010000001101010110000 (22 bits)
Octal 0o12015260
Hexadecimal 0x281AB0

Divisor Catalog (10)

1 2 4 8 16 164,267 328,534 657,068 1,314,136 2,628,272

Collatz Trajectory (148 steps to reach 1)

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

2,628,272 1,314,136 657,068 328,534 164,267 492,802 246,401 739,204 369,602 184,801 554,404 277,202 138,601 415,804 207,902 103,951 311,854 155,927 467,782 233,891 701,674 350,837 1,052,512 526,256 263,128 131,564 65,782 32,891 98,674 49,337 148,012 74,006 37,003 111,010 55,505 166,516 83,258 41,629 124,888 62,444 31,222 15,611 46,834 23,417 70,252 35,126 17,563 52,690 26,345 79,036 39,518 19,759 59,278 29,639 88,918 44,459 133,378 66,689 200,068 100,034

More profiles

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