λ
Harmonic Matrix

7,156,205

5 × 72 × 29209
Deficient Odd Composite

7,156,205 has digital root 8. The neighboring primes are 7156199 and 7156213; its proper-divisor sum differs from the starting integer by -4,322,590.

Prime Factor Structure

Factorization String 5 × 7^2 × 29209
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,989,820
Proper Divisor Sum 2,833,615
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7156199 ← → #7156213

Radix Representation

Decimal 7156205
Binary 11011010011000111101101 (23 bits)
Octal 0o33230755
Hexadecimal 0x6D31ED

Divisor Catalog (12)

1 5 7 35 49 245 29,209 146,045 204,463 1,022,315 1,431,241 7,156,205

Collatz Trajectory (98 steps to reach 1)

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

7,156,205 21,468,616 10,734,308 5,367,154 2,683,577 8,050,732 4,025,366 2,012,683 6,038,050 3,019,025 9,057,076 4,528,538 2,264,269 6,792,808 3,396,404 1,698,202 849,101 2,547,304 1,273,652 636,826 318,413 955,240 477,620 238,810 119,405 358,216 179,108 89,554 44,777 134,332 67,166 33,583 100,750 50,375 151,126 75,563 226,690 113,345 340,036 170,018 85,009 255,028 127,514 63,757 191,272 95,636 47,818 23,909 71,728 35,864 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044 2,522 1,261

More profiles

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