λ
Harmonic Matrix

4,780,877

4780877
Deficient Odd Prime

4,780,877 has digital root 5. The neighboring primes are 4780871 and 4780891; its proper-divisor sum differs from the starting integer by -4,780,876.

Prime Factor Structure

Factorization String 4780877
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,780,878
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #4780871 ← → #4780891

Radix Representation

Decimal 4780877
Binary 10010001111001101001101 (23 bits)
Octal 0o22171515
Hexadecimal 0x48F34D

Divisor Catalog (2)

Collatz Trajectory (237 steps to reach 1)

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

4,780,877 14,342,632 7,171,316 3,585,658 1,792,829 5,378,488 2,689,244 1,344,622 672,311 2,016,934 1,008,467 3,025,402 1,512,701 4,538,104 2,269,052 1,134,526 567,263 1,701,790 850,895 2,552,686 1,276,343 3,829,030 1,914,515 5,743,546 2,871,773 8,615,320 4,307,660 2,153,830 1,076,915 3,230,746 1,615,373 4,846,120 2,423,060 1,211,530 605,765 1,817,296 908,648 454,324 227,162 113,581 340,744 170,372 85,186 42,593 127,780 63,890 31,945 95,836 47,918 23,959 71,878 35,939 107,818 53,909 161,728 80,864 40,432 20,216 10,108 5,054

More profiles

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