λ
Harmonic Matrix

8,702,507

11 × 791137
Deficient Odd Composite

8,702,507 has digital root 2. The neighboring primes are 8702503 and 8702539; its proper-divisor sum differs from the starting integer by -7,911,358.

Prime Factor Structure

Factorization String 11 × 791137
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,493,656
Proper Divisor Sum 791,149
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8702503 ← → #8702539

Radix Representation

Decimal 8702507
Binary 100001001100101000101011 (24 bits)
Octal 0o41145053
Hexadecimal 0x84CA2B

Divisor Catalog (4)

1 11 791,137 8,702,507

Collatz Trajectory (124 steps to reach 1)

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

8,702,507 26,107,522 13,053,761 39,161,284 19,580,642 9,790,321 29,370,964 14,685,482 7,342,741 22,028,224 11,014,112 5,507,056 2,753,528 1,376,764 688,382 344,191 1,032,574 516,287 1,548,862 774,431 2,323,294 1,161,647 3,484,942 1,742,471 5,227,414 2,613,707 7,841,122 3,920,561 11,761,684 5,880,842 2,940,421 8,821,264 4,410,632 2,205,316 1,102,658 551,329 1,653,988 826,994 413,497 1,240,492 620,246 310,123 930,370 465,185 1,395,556 697,778 348,889 1,046,668 523,334 261,667 785,002 392,501 1,177,504 588,752 294,376 147,188 73,594 36,797 110,392 55,196

More profiles

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