λ
Harmonic Matrix

7,237,077

3 × 827 × 2917
Deficient Odd Composite

7,237,077 has digital root 6. The neighboring primes are 7237067 and 7237091; its proper-divisor sum differs from the starting integer by -4,809,738.

Prime Factor Structure

Factorization String 3 × 827 × 2917
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,664,416
Proper Divisor Sum 2,427,339
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7237067 ← → #7237091

Radix Representation

Decimal 7237077
Binary 11011100110110111010101 (23 bits)
Octal 0o33466725
Hexadecimal 0x6E6DD5

Divisor Catalog (8)

1 3 827 2,481 2,917 8,751 2,412,359 7,237,077

Collatz Trajectory (142 steps to reach 1)

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

7,237,077 21,711,232 10,855,616 5,427,808 2,713,904 1,356,952 678,476 339,238 169,619 508,858 254,429 763,288 381,644 190,822 95,411 286,234 143,117 429,352 214,676 107,338 53,669 161,008 80,504 40,252 20,126 10,063 30,190 15,095 45,286 22,643 67,930 33,965 101,896 50,948 25,474 12,737 38,212 19,106 9,553 28,660 14,330 7,165 21,496 10,748 5,374 2,687 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926

More profiles

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