λ
Harmonic Matrix

7,167,247

503 × 14249
Deficient Odd Composite

7,167,247 has digital root 7. The neighboring primes are 7167241 and 7167253; its proper-divisor sum differs from the starting integer by -7,152,494.

Prime Factor Structure

Factorization String 503 × 14249
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,182,000
Proper Divisor Sum 14,753
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7167241 ← → #7167253

Radix Representation

Decimal 7167247
Binary 11011010101110100001111 (23 bits)
Octal 0o33256417
Hexadecimal 0x6D5D0F

Divisor Catalog (4)

1 503 14,249 7,167,247

Collatz Trajectory (142 steps to reach 1)

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

7,167,247 21,501,742 10,750,871 32,252,614 16,126,307 48,378,922 24,189,461 72,568,384 36,284,192 18,142,096 9,071,048 4,535,524 2,267,762 1,133,881 3,401,644 1,700,822 850,411 2,551,234 1,275,617 3,826,852 1,913,426 956,713 2,870,140 1,435,070 717,535 2,152,606 1,076,303 3,228,910 1,614,455 4,843,366 2,421,683 7,265,050 3,632,525 10,897,576 5,448,788 2,724,394 1,362,197 4,086,592 2,043,296 1,021,648 510,824 255,412 127,706 63,853 191,560 95,780 47,890 23,945 71,836 35,918 17,959 53,878 26,939 80,818 40,409 121,228 60,614 30,307 90,922 45,461

More profiles

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