λ
Harmonic Matrix

7,413,481

53 × 137 × 1021
Deficient Odd Composite

7,413,481 has digital root 1. The neighboring primes are 7413467 and 7413487; its proper-divisor sum differs from the starting integer by -7,211,018.

Prime Factor Structure

Factorization String 53 × 137 × 1021
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,615,944
Proper Divisor Sum 202,463
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7413467 ← → #7413487

Radix Representation

Decimal 7413481
Binary 11100010001111011101001 (23 bits)
Octal 0o34217351
Hexadecimal 0x711EE9

Divisor Catalog (8)

1 53 137 1,021 7,261 54,113 139,877 7,413,481

Collatz Trajectory (116 steps to reach 1)

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

7,413,481 22,240,444 11,120,222 5,560,111 16,680,334 8,340,167 25,020,502 12,510,251 37,530,754 18,765,377 56,296,132 28,148,066 14,074,033 42,222,100 21,111,050 10,555,525 31,666,576 15,833,288 7,916,644 3,958,322 1,979,161 5,937,484 2,968,742 1,484,371 4,453,114 2,226,557 6,679,672 3,339,836 1,669,918 834,959 2,504,878 1,252,439 3,757,318 1,878,659 5,635,978 2,817,989 8,453,968 4,226,984 2,113,492 1,056,746 528,373 1,585,120 792,560 396,280 198,140 99,070 49,535 148,606 74,303 222,910 111,455 334,366 167,183 501,550 250,775 752,326 376,163 1,128,490 564,245 1,692,736

More profiles

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