λ
Harmonic Matrix

7,394,769

32 × 821641
Deficient Odd Composite

7,394,769 has digital root 9. The neighboring primes are 7394767 and 7394773; its proper-divisor sum differs from the starting integer by -4,108,192.

Prime Factor Structure

Factorization String 3^2 × 821641
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 10,681,346
Proper Divisor Sum 3,286,577
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7394767 ← → #7394773

Radix Representation

Decimal 7394769
Binary 11100001101010111010001 (23 bits)
Octal 0o34152721
Hexadecimal 0x70D5D1

Divisor Catalog (6)

1 3 9 821,641 2,464,923 7,394,769

Collatz Trajectory (191 steps to reach 1)

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

7,394,769 22,184,308 11,092,154 5,546,077 16,638,232 8,319,116 4,159,558 2,079,779 6,239,338 3,119,669 9,359,008 4,679,504 2,339,752 1,169,876 584,938 292,469 877,408 438,704 219,352 109,676 54,838 27,419 82,258 41,129 123,388 61,694 30,847 92,542 46,271 138,814 69,407 208,222 104,111 312,334 156,167 468,502 234,251 702,754 351,377 1,054,132 527,066 263,533 790,600 395,300 197,650 98,825 296,476 148,238 74,119 222,358 111,179 333,538 166,769 500,308 250,154 125,077 375,232 187,616 93,808 46,904

More profiles

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