λ
Harmonic Matrix

7,678,621

7678621
Deficient Odd Prime

7,678,621 has digital root 1. The neighboring primes are 7678613 and 7678631; its proper-divisor sum differs from the starting integer by -7,678,620.

Prime Factor Structure

Factorization String 7678621
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,678,622
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7678613 ← → #7678631

Radix Representation

Decimal 7678621
Binary 11101010010101010011101 (23 bits)
Octal 0o35225235
Hexadecimal 0x752A9D

Divisor Catalog (2)

1 7,678,621

Collatz Trajectory (72 steps to reach 1)

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

7,678,621 23,035,864 11,517,932 5,758,966 2,879,483 8,638,450 4,319,225 12,957,676 6,478,838 3,239,419 9,718,258 4,859,129 14,577,388 7,288,694 3,644,347 10,933,042 5,466,521 16,399,564 8,199,782 4,099,891 12,299,674 6,149,837 18,449,512 9,224,756 4,612,378 2,306,189 6,918,568 3,459,284 1,729,642 864,821 2,594,464 1,297,232 648,616 324,308 162,154 81,077 243,232 121,616 60,808 30,404 15,202 7,601 22,804 11,402 5,701 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204 602 301 904 452 226

More profiles

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