λ
Harmonic Matrix

7,087,742

2 × 17 × 208463
Deficient Even Composite

7,087,742 has digital root 8. The neighboring primes are 7087727 and 7087753; its proper-divisor sum differs from the starting integer by -2,918,428.

Prime Factor Structure

Factorization String 2 × 17 × 208463
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,257,056
Proper Divisor Sum 4,169,314
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7087727 ← → #7087753

Radix Representation

Decimal 7087742
Binary 11011000010011001111110 (23 bits)
Octal 0o33023176
Hexadecimal 0x6C267E

Divisor Catalog (8)

1 2 17 34 208,463 416,926 3,543,871 7,087,742

Collatz Trajectory (297 steps to reach 1)

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

7,087,742 3,543,871 10,631,614 5,315,807 15,947,422 7,973,711 23,921,134 11,960,567 35,881,702 17,940,851 53,822,554 26,911,277 80,733,832 40,366,916 20,183,458 10,091,729 30,275,188 15,137,594 7,568,797 22,706,392 11,353,196 5,676,598 2,838,299 8,514,898 4,257,449 12,772,348 6,386,174 3,193,087 9,579,262 4,789,631 14,368,894 7,184,447 21,553,342 10,776,671 32,330,014 16,165,007 48,495,022 24,247,511 72,742,534 36,371,267 109,113,802 54,556,901 163,670,704 81,835,352 40,917,676 20,458,838 10,229,419 30,688,258 15,344,129 46,032,388 23,016,194 11,508,097 34,524,292 17,262,146 8,631,073 25,893,220 12,946,610 6,473,305 19,419,916 9,709,958

More profiles

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