λ
Harmonic Matrix

7,704,601

1229 × 6269
Deficient Odd Composite

7,704,601 has digital root 7. The neighboring primes are 7704581 and 7704617; its proper-divisor sum differs from the starting integer by -7,697,102.

Prime Factor Structure

Factorization String 1229 × 6269
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,712,100
Proper Divisor Sum 7,499
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7704581 ← → #7704617

Radix Representation

Decimal 7704601
Binary 11101011001000000011001 (23 bits)
Octal 0o35310031
Hexadecimal 0x759019

Divisor Catalog (4)

1 1,229 6,269 7,704,601

Collatz Trajectory (98 steps to reach 1)

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

7,704,601 23,113,804 11,556,902 5,778,451 17,335,354 8,667,677 26,003,032 13,001,516 6,500,758 3,250,379 9,751,138 4,875,569 14,626,708 7,313,354 3,656,677 10,970,032 5,485,016 2,742,508 1,371,254 685,627 2,056,882 1,028,441 3,085,324 1,542,662 771,331 2,313,994 1,156,997 3,470,992 1,735,496 867,748 433,874 216,937 650,812 325,406 162,703 488,110 244,055 732,166 366,083 1,098,250 549,125 1,647,376 823,688 411,844 205,922 102,961 308,884 154,442 77,221 231,664 115,832 57,916 28,958 14,479 43,438 21,719 65,158 32,579 97,738 48,869

More profiles

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