λ
Math Directory

6,464,734

2 × 73 × 44279
Deficient Even Composite

6,464,734 factors as 2 × 73 × 44279. Its 8 positive divisors give a proper-divisor sum of 3,365,426, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2 × 73 × 44279
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,830,160
Proper Divisor Sum 3,365,426
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6464729 ← → #6464741

Radix Representation

Decimal 6464734
Binary 11000101010010011011110 (23 bits)
Octal 0o30522336
Hexadecimal 0x62A4DE

Divisor Catalog (8)

1 2 73 146 44,279 88,558 3,232,367 6,464,734

Collatz Trajectory (165 steps to reach 1)

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

6,464,734 3,232,367 9,697,102 4,848,551 14,545,654 7,272,827 21,818,482 10,909,241 32,727,724 16,363,862 8,181,931 24,545,794 12,272,897 36,818,692 18,409,346 9,204,673 27,614,020 13,807,010 6,903,505 20,710,516 10,355,258 5,177,629 15,532,888 7,766,444 3,883,222 1,941,611 5,824,834 2,912,417 8,737,252 4,368,626 2,184,313 6,552,940 3,276,470 1,638,235 4,914,706 2,457,353 7,372,060 3,686,030 1,843,015 5,529,046 2,764,523 8,293,570 4,146,785 12,440,356 6,220,178 3,110,089 9,330,268 4,665,134 2,332,567 6,997,702 3,498,851 10,496,554 5,248,277 15,744,832 7,872,416 3,936,208 1,968,104 984,052 492,026 246,013

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