λ
Harmonic Matrix

7,461,077

13 × 573929
Deficient Odd Composite

7,461,077 has digital root 5. The neighboring primes are 7461073 and 7461089; its proper-divisor sum differs from the starting integer by -6,887,134.

Prime Factor Structure

Factorization String 13 × 573929
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,035,020
Proper Divisor Sum 573,943
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7461073 ← → #7461089

Radix Representation

Decimal 7461077
Binary 11100011101100011010101 (23 bits)
Octal 0o34354325
Hexadecimal 0x71D8D5

Divisor Catalog (4)

1 13 573,929 7,461,077

Collatz Trajectory (173 steps to reach 1)

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

7,461,077 22,383,232 11,191,616 5,595,808 2,797,904 1,398,952 699,476 349,738 174,869 524,608 262,304 131,152 65,576 32,788 16,394 8,197 24,592 12,296 6,148 3,074 1,537 4,612 2,306 1,153 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322

More profiles

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