λ
Harmonic Matrix

7,987,177

11 × 726107
Deficient Odd Composite

7,987,177 has digital root 1. The neighboring primes are 7987139 and 7987223; its proper-divisor sum differs from the starting integer by -7,261,058.

Prime Factor Structure

Factorization String 11 × 726107
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,713,296
Proper Divisor Sum 726,119
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #7987139 ← → #7987223

Radix Representation

Decimal 7987177
Binary 11110011101111111101001 (23 bits)
Octal 0o36357751
Hexadecimal 0x79DFE9

Divisor Catalog (4)

1 11 726,107 7,987,177

Collatz Trajectory (142 steps to reach 1)

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

7,987,177 23,961,532 11,980,766 5,990,383 17,971,150 8,985,575 26,956,726 13,478,363 40,435,090 20,217,545 60,652,636 30,326,318 15,163,159 45,489,478 22,744,739 68,234,218 34,117,109 102,351,328 51,175,664 25,587,832 12,793,916 6,396,958 3,198,479 9,595,438 4,797,719 14,393,158 7,196,579 21,589,738 10,794,869 32,384,608 16,192,304 8,096,152 4,048,076 2,024,038 1,012,019 3,036,058 1,518,029 4,554,088 2,277,044 1,138,522 569,261 1,707,784 853,892 426,946 213,473 640,420 320,210 160,105 480,316 240,158 120,079 360,238 180,119 540,358 270,179 810,538 405,269 1,215,808 607,904 303,952

More profiles

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