λ
Harmonic Matrix

7,747,672

23 × 968459
Deficient Even Composite

7,747,672 has digital root 4. The neighboring primes are 7747643 and 7747673; its proper-divisor sum differs from the starting integer by -968,444.

Prime Factor Structure

Factorization String 2^3 × 968459
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,526,900
Proper Divisor Sum 6,779,228
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7747643 ← → #7747673

Radix Representation

Decimal 7747672
Binary 11101100011100001011000 (23 bits)
Octal 0o35434130
Hexadecimal 0x763858

Divisor Catalog (8)

1 2 4 8 968,459 1,936,918 3,873,836 7,747,672

Collatz Trajectory (279 steps to reach 1)

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

7,747,672 3,873,836 1,936,918 968,459 2,905,378 1,452,689 4,358,068 2,179,034 1,089,517 3,268,552 1,634,276 817,138 408,569 1,225,708 612,854 306,427 919,282 459,641 1,378,924 689,462 344,731 1,034,194 517,097 1,551,292 775,646 387,823 1,163,470 581,735 1,745,206 872,603 2,617,810 1,308,905 3,926,716 1,963,358 981,679 2,945,038 1,472,519 4,417,558 2,208,779 6,626,338 3,313,169 9,939,508 4,969,754 2,484,877 7,454,632 3,727,316 1,863,658 931,829 2,795,488 1,397,744 698,872 349,436 174,718 87,359 262,078 131,039 393,118 196,559 589,678 294,839

More profiles

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