λ
Harmonic Matrix

6,745,721

1187 × 5683
Deficient Odd Composite

6,745,721 has digital root 5. The neighboring primes are 6745709 and 6745751; its proper-divisor sum differs from the starting integer by -6,738,850.

Prime Factor Structure

Factorization String 1187 × 5683
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,752,592
Proper Divisor Sum 6,871
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6745709 ← → #6745751

Radix Representation

Decimal 6745721
Binary 11001101110111001111001 (23 bits)
Octal 0o31567171
Hexadecimal 0x66EE79

Divisor Catalog (4)

1 1,187 5,683 6,745,721

Collatz Trajectory (191 steps to reach 1)

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

6,745,721 20,237,164 10,118,582 5,059,291 15,177,874 7,588,937 22,766,812 11,383,406 5,691,703 17,075,110 8,537,555 25,612,666 12,806,333 38,419,000 19,209,500 9,604,750 4,802,375 14,407,126 7,203,563 21,610,690 10,805,345 32,416,036 16,208,018 8,104,009 24,312,028 12,156,014 6,078,007 18,234,022 9,117,011 27,351,034 13,675,517 41,026,552 20,513,276 10,256,638 5,128,319 15,384,958 7,692,479 23,077,438 11,538,719 34,616,158 17,308,079 51,924,238 25,962,119 77,886,358 38,943,179 116,829,538 58,414,769 175,244,308 87,622,154 43,811,077 131,433,232 65,716,616 32,858,308 16,429,154 8,214,577 24,643,732 12,321,866 6,160,933 18,482,800 9,241,400

More profiles

← Previous Integer #6,745,720 Browse Full Index Next Integer #6,745,722 →