λ
Harmonic Matrix

7,724,377

337 × 22921
Deficient Odd Composite

7,724,377 has digital root 1. The neighboring primes are 7724371 and 7724419; its proper-divisor sum differs from the starting integer by -7,701,118.

Prime Factor Structure

Factorization String 337 × 22921
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,747,636
Proper Divisor Sum 23,259
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7724371 ← → #7724419

Radix Representation

Decimal 7724377
Binary 11101011101110101011001 (23 bits)
Octal 0o35356531
Hexadecimal 0x75DD59

Divisor Catalog (4)

1 337 22,921 7,724,377

Collatz Trajectory (173 steps to reach 1)

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

7,724,377 23,173,132 11,586,566 5,793,283 17,379,850 8,689,925 26,069,776 13,034,888 6,517,444 3,258,722 1,629,361 4,888,084 2,444,042 1,222,021 3,666,064 1,833,032 916,516 458,258 229,129 687,388 343,694 171,847 515,542 257,771 773,314 386,657 1,159,972 579,986 289,993 869,980 434,990 217,495 652,486 326,243 978,730 489,365 1,468,096 734,048 367,024 183,512 91,756 45,878 22,939 68,818 34,409 103,228 51,614 25,807 77,422 38,711 116,134 58,067 174,202 87,101 261,304 130,652 65,326 32,663 97,990 48,995

More profiles

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