λ
Harmonic Matrix

4,880,365

5 × 7 × 139439
Deficient Odd Composite

4,880,365 has digital root 7. The neighboring primes are 4880333 and 4880387; its proper-divisor sum differs from the starting integer by -3,067,610.

Prime Factor Structure

Factorization String 5 × 7 × 139439
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,693,120
Proper Divisor Sum 1,812,755
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4880333 ← → #4880387

Radix Representation

Decimal 4880365
Binary 10010100111011111101101 (23 bits)
Octal 0o22473755
Hexadecimal 0x4A77ED

Divisor Catalog (8)

1 5 7 35 139,439 697,195 976,073 4,880,365

Collatz Trajectory (219 steps to reach 1)

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

4,880,365 14,641,096 7,320,548 3,660,274 1,830,137 5,490,412 2,745,206 1,372,603 4,117,810 2,058,905 6,176,716 3,088,358 1,544,179 4,632,538 2,316,269 6,948,808 3,474,404 1,737,202 868,601 2,605,804 1,302,902 651,451 1,954,354 977,177 2,931,532 1,465,766 732,883 2,198,650 1,099,325 3,297,976 1,648,988 824,494 412,247 1,236,742 618,371 1,855,114 927,557 2,782,672 1,391,336 695,668 347,834 173,917 521,752 260,876 130,438 65,219 195,658 97,829 293,488 146,744 73,372 36,686 18,343 55,030 27,515 82,546 41,273 123,820 61,910 30,955

More profiles

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