λ
Harmonic Matrix

5,527,972

22 × 1381993
Deficient Even Composite

5,527,972 has digital root 1. The neighboring primes are 5527967 and 5527979; its proper-divisor sum differs from the starting integer by -1,381,986.

Prime Factor Structure

Factorization String 2^2 × 1381993
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,673,958
Proper Divisor Sum 4,145,986
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5527967 ← → #5527979

Radix Representation

Decimal 5527972
Binary 10101000101100110100100 (23 bits)
Octal 0o25054644
Hexadecimal 0x5459A4

Divisor Catalog (6)

1 2 4 1,381,993 2,763,986 5,527,972

Collatz Trajectory (126 steps to reach 1)

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

5,527,972 2,763,986 1,381,993 4,145,980 2,072,990 1,036,495 3,109,486 1,554,743 4,664,230 2,332,115 6,996,346 3,498,173 10,494,520 5,247,260 2,623,630 1,311,815 3,935,446 1,967,723 5,903,170 2,951,585 8,854,756 4,427,378 2,213,689 6,641,068 3,320,534 1,660,267 4,980,802 2,490,401 7,471,204 3,735,602 1,867,801 5,603,404 2,801,702 1,400,851 4,202,554 2,101,277 6,303,832 3,151,916 1,575,958 787,979 2,363,938 1,181,969 3,545,908 1,772,954 886,477 2,659,432 1,329,716 664,858 332,429 997,288 498,644 249,322 124,661 373,984 186,992 93,496 46,748 23,374 11,687 35,062

More profiles

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