λ
Harmonic Matrix

8,377,768

23 × 7 × 149603
Abundant Even Composite

8,377,768 has digital root 1. The neighboring primes are 8377757 and 8377777; its proper-divisor sum differs from the starting integer by 1,196,944.

Prime Factor Structure

Factorization String 2^3 × 7 × 149603
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,952,480
Proper Divisor Sum 9,574,712
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #8377757 ← → #8377777

Radix Representation

Decimal 8377768
Binary 11111111101010110101000 (23 bits)
Octal 0o37752650
Hexadecimal 0x7FD5A8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 149,603 299,206 598,412 1,047,221 1,196,824 2,094,442 4,188,884 8,377,768

Collatz Trajectory (168 steps to reach 1)

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

8,377,768 4,188,884 2,094,442 1,047,221 3,141,664 1,570,832 785,416 392,708 196,354 98,177 294,532 147,266 73,633 220,900 110,450 55,225 165,676 82,838 41,419 124,258 62,129 186,388 93,194 46,597 139,792 69,896 34,948 17,474 8,737 26,212 13,106 6,553 19,660 9,830 4,915 14,746 7,373 22,120 11,060 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250

More profiles

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