λ
Harmonic Matrix

3,880,007

3880007
Deficient Odd Prime

3,880,007 has digital root 8. The neighboring primes are 3880003 and 3880033; its proper-divisor sum differs from the starting integer by -3,880,006.

Prime Factor Structure

Factorization String 3880007
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,880,008
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3880003 ← → #3880033

Radix Representation

Decimal 3880007
Binary 1110110011010001000111 (22 bits)
Octal 0o16632107
Hexadecimal 0x3B3447

Divisor Catalog (2)

Collatz Trajectory (216 steps to reach 1)

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

3,880,007 11,640,022 5,820,011 17,460,034 8,730,017 26,190,052 13,095,026 6,547,513 19,642,540 9,821,270 4,910,635 14,731,906 7,365,953 22,097,860 11,048,930 5,524,465 16,573,396 8,286,698 4,143,349 12,430,048 6,215,024 3,107,512 1,553,756 776,878 388,439 1,165,318 582,659 1,747,978 873,989 2,621,968 1,310,984 655,492 327,746 163,873 491,620 245,810 122,905 368,716 184,358 92,179 276,538 138,269 414,808 207,404 103,702 51,851 155,554 77,777 233,332 116,666 58,333 175,000 87,500 43,750 21,875 65,626 32,813 98,440 49,220 24,610

More profiles

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