λ
Harmonic Matrix

9,678,773

13 × 59 × 12619
Deficient Odd Composite

9,678,773 has digital root 2. The neighboring primes are 9678761 and 9678787; its proper-divisor sum differs from the starting integer by -8,756,746.

Prime Factor Structure

Factorization String 13 × 59 × 12619
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,600,800
Proper Divisor Sum 922,027
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #9678761 ← → #9678787

Radix Representation

Decimal 9678773
Binary 100100111010111110110101 (24 bits)
Octal 0o44727665
Hexadecimal 0x93AFB5

Divisor Catalog (8)

1 13 59 767 12,619 164,047 744,521 9,678,773

Collatz Trajectory (132 steps to reach 1)

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

9,678,773 29,036,320 14,518,160 7,259,080 3,629,540 1,814,770 907,385 2,722,156 1,361,078 680,539 2,041,618 1,020,809 3,062,428 1,531,214 765,607 2,296,822 1,148,411 3,445,234 1,722,617 5,167,852 2,583,926 1,291,963 3,875,890 1,937,945 5,813,836 2,906,918 1,453,459 4,360,378 2,180,189 6,540,568 3,270,284 1,635,142 817,571 2,452,714 1,226,357 3,679,072 1,839,536 919,768 459,884 229,942 114,971 344,914 172,457 517,372 258,686 129,343 388,030 194,015 582,046 291,023 873,070 436,535 1,309,606 654,803 1,964,410 982,205 2,946,616 1,473,308 736,654 368,327

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