λ
Harmonic Matrix

2,928,808

23 × 349 × 1049
Deficient Even Composite

2,928,808 has digital root 1. The neighboring primes are 2928791 and 2928817; its proper-divisor sum differs from the starting integer by -345,116.

Prime Factor Structure

Factorization String 2^3 × 349 × 1049
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,512,500
Proper Divisor Sum 2,583,692
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2928791 ← → #2928817

Radix Representation

Decimal 2928808
Binary 1011001011000010101000 (22 bits)
Octal 0o13130250
Hexadecimal 0x2CB0A8

Divisor Catalog (16)

1 2 4 8 349 698 1,049 1,396 2,098 2,792 4,196 8,392 366,101 732,202 1,464,404 2,928,808

Collatz Trajectory (182 steps to reach 1)

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

2,928,808 1,464,404 732,202 366,101 1,098,304 549,152 274,576 137,288 68,644 34,322 17,161 51,484 25,742 12,871 38,614 19,307 57,922 28,961 86,884 43,442 21,721 65,164 32,582 16,291 48,874 24,437 73,312 36,656 18,328 9,164 4,582 2,291 6,874 3,437 10,312 5,156 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104

More profiles

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