7,342,648

2³ × 917831

7,342,648 has the prime decomposition 2^3 × 917831. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 917831

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,767,480

Proper Divisor Sum 6,424,832

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7342633 ← → #7342663

Radix Representation

Decimal	7342648
Binary	11100000000101000111000 (23 bits)
Octal	0o34005070
Hexadecimal	0x700A38

Divisor Catalog (8)

1 2 4 8 917,831 1,835,662 3,671,324 7,342,648

Collatz Trajectory (204 steps to reach 1)

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

7,342,648 3,671,324 1,835,662 917,831 2,753,494 1,376,747 4,130,242 2,065,121 6,195,364 3,097,682 1,548,841 4,646,524 2,323,262 1,161,631 3,484,894 1,742,447 5,227,342 2,613,671 7,841,014 3,920,507 11,761,522 5,880,761 17,642,284 8,821,142 4,410,571 13,231,714 6,615,857 19,847,572 9,923,786 4,961,893 14,885,680 7,442,840 3,721,420 1,860,710 930,355 2,791,066 1,395,533 4,186,600 2,093,300 1,046,650 523,325 1,569,976 784,988 392,494 196,247 588,742 294,371 883,114 441,557 1,324,672 662,336 331,168 165,584 82,792 41,396 20,698 10,349 31,048 15,524 7,762

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