λ
Harmonic Matrix

5,727,289

5727289
Deficient Odd Prime

5,727,289 has digital root 4. The neighboring primes are 5727287 and 5727301; its proper-divisor sum differs from the starting integer by -5,727,288.

Prime Factor Structure

Factorization String 5727289
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,727,290
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5727287 ← → #5727301

Radix Representation

Decimal 5727289
Binary 10101110110010000111001 (23 bits)
Octal 0o25662071
Hexadecimal 0x576439

Divisor Catalog (2)

Collatz Trajectory (126 steps to reach 1)

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

5,727,289 17,181,868 8,590,934 4,295,467 12,886,402 6,443,201 19,329,604 9,664,802 4,832,401 14,497,204 7,248,602 3,624,301 10,872,904 5,436,452 2,718,226 1,359,113 4,077,340 2,038,670 1,019,335 3,058,006 1,529,003 4,587,010 2,293,505 6,880,516 3,440,258 1,720,129 5,160,388 2,580,194 1,290,097 3,870,292 1,935,146 967,573 2,902,720 1,451,360 725,680 362,840 181,420 90,710 45,355 136,066 68,033 204,100 102,050 51,025 153,076 76,538 38,269 114,808 57,404 28,702 14,351 43,054 21,527 64,582 32,291 96,874 48,437 145,312 72,656 36,328

More profiles

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