λ
Harmonic Matrix

2,760,413

137 × 20149
Deficient Odd Composite

2,760,413 has digital root 5. The neighboring primes are 2760403 and 2760421; its proper-divisor sum differs from the starting integer by -2,740,126.

Prime Factor Structure

Factorization String 137 × 20149
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,780,700
Proper Divisor Sum 20,287
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2760403 ← → #2760421

Radix Representation

Decimal 2760413
Binary 1010100001111011011101 (22 bits)
Octal 0o12417335
Hexadecimal 0x2A1EDD

Divisor Catalog (4)

1 137 20,149 2,760,413

Collatz Trajectory (138 steps to reach 1)

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

2,760,413 8,281,240 4,140,620 2,070,310 1,035,155 3,105,466 1,552,733 4,658,200 2,329,100 1,164,550 582,275 1,746,826 873,413 2,620,240 1,310,120 655,060 327,530 163,765 491,296 245,648 122,824 61,412 30,706 15,353 46,060 23,030 11,515 34,546 17,273 51,820 25,910 12,955 38,866 19,433 58,300 29,150 14,575 43,726 21,863 65,590 32,795 98,386 49,193 147,580 73,790 36,895 110,686 55,343 166,030 83,015 249,046 124,523 373,570 186,785 560,356 280,178 140,089 420,268 210,134 105,067

More profiles

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