λ
Harmonic Matrix

8,826,477

3 × 11 × 267469
Deficient Odd Composite

8,826,477 has digital root 6. The neighboring primes are 8826473 and 8826479; its proper-divisor sum differs from the starting integer by -4,814,394.

Prime Factor Structure

Factorization String 3 × 11 × 267469
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,838,560
Proper Divisor Sum 4,012,083
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8826473 ← → #8826479

Radix Representation

Decimal 8826477
Binary 100001101010111001101101 (24 bits)
Octal 0o41527155
Hexadecimal 0x86AE6D

Divisor Catalog (8)

1 3 11 33 267,469 802,407 2,942,159 8,826,477

Collatz Trajectory (181 steps to reach 1)

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

8,826,477 26,479,432 13,239,716 6,619,858 3,309,929 9,929,788 4,964,894 2,482,447 7,447,342 3,723,671 11,171,014 5,585,507 16,756,522 8,378,261 25,134,784 12,567,392 6,283,696 3,141,848 1,570,924 785,462 392,731 1,178,194 589,097 1,767,292 883,646 441,823 1,325,470 662,735 1,988,206 994,103 2,982,310 1,491,155 4,473,466 2,236,733 6,710,200 3,355,100 1,677,550 838,775 2,516,326 1,258,163 3,774,490 1,887,245 5,661,736 2,830,868 1,415,434 707,717 2,123,152 1,061,576 530,788 265,394 132,697 398,092 199,046 99,523 298,570 149,285 447,856 223,928 111,964 55,982

More profiles

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