λ
Harmonic Matrix

8,082,757

1327 × 6091
Deficient Odd Composite

8,082,757 has digital root 1. The neighboring primes are 8082751 and 8082773; its proper-divisor sum differs from the starting integer by -8,075,338.

Prime Factor Structure

Factorization String 1327 × 6091
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,090,176
Proper Divisor Sum 7,419
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8082751 ← → #8082773

Radix Representation

Decimal 8082757
Binary 11110110101010101000101 (23 bits)
Octal 0o36652505
Hexadecimal 0x7B5545

Divisor Catalog (4)

1 1,327 6,091 8,082,757

Collatz Trajectory (217 steps to reach 1)

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

8,082,757 24,248,272 12,124,136 6,062,068 3,031,034 1,515,517 4,546,552 2,273,276 1,136,638 568,319 1,704,958 852,479 2,557,438 1,278,719 3,836,158 1,918,079 5,754,238 2,877,119 8,631,358 4,315,679 12,947,038 6,473,519 19,420,558 9,710,279 29,130,838 14,565,419 43,696,258 21,848,129 65,544,388 32,772,194 16,386,097 49,158,292 24,579,146 12,289,573 36,868,720 18,434,360 9,217,180 4,608,590 2,304,295 6,912,886 3,456,443 10,369,330 5,184,665 15,553,996 7,776,998 3,888,499 11,665,498 5,832,749 17,498,248 8,749,124 4,374,562 2,187,281 6,561,844 3,280,922 1,640,461 4,921,384 2,460,692 1,230,346 615,173 1,845,520

More profiles

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