λ
Harmonic Matrix

7,920,977

167 × 47431
Deficient Odd Composite

7,920,977 has digital root 5. The neighboring primes are 7920959 and 7921003; its proper-divisor sum differs from the starting integer by -7,873,378.

Prime Factor Structure

Factorization String 167 × 47431
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,968,576
Proper Divisor Sum 47,599
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7920959 ← → #7921003

Radix Representation

Decimal 7920977
Binary 11110001101110101010001 (23 bits)
Octal 0o36156521
Hexadecimal 0x78DD51

Divisor Catalog (4)

1 167 47,431 7,920,977

Collatz Trajectory (93 steps to reach 1)

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

7,920,977 23,762,932 11,881,466 5,940,733 17,822,200 8,911,100 4,455,550 2,227,775 6,683,326 3,341,663 10,024,990 5,012,495 15,037,486 7,518,743 22,556,230 11,278,115 33,834,346 16,917,173 50,751,520 25,375,760 12,687,880 6,343,940 3,171,970 1,585,985 4,757,956 2,378,978 1,189,489 3,568,468 1,784,234 892,117 2,676,352 1,338,176 669,088 334,544 167,272 83,636 41,818 20,909 62,728 31,364 15,682 7,841 23,524 11,762 5,881 17,644 8,822 4,411 13,234 6,617 19,852 9,926 4,963 14,890 7,445 22,336 11,168 5,584 2,792 1,396

More profiles

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