λ
Harmonic Matrix

5,421,871

7 × 13 × 59581
Deficient Odd Composite

5,421,871 has digital root 1. The neighboring primes are 5421839 and 5421887; its proper-divisor sum differs from the starting integer by -4,170,558.

Prime Factor Structure

Factorization String 7 × 13 × 59581
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,673,184
Proper Divisor Sum 1,251,313
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5421839 ← → #5421887

Radix Representation

Decimal 5421871
Binary 10100101011101100101111 (23 bits)
Octal 0o24535457
Hexadecimal 0x52BB2F

Divisor Catalog (8)

1 7 13 91 59,581 417,067 774,553 5,421,871

Collatz Trajectory (139 steps to reach 1)

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

5,421,871 16,265,614 8,132,807 24,398,422 12,199,211 36,597,634 18,298,817 54,896,452 27,448,226 13,724,113 41,172,340 20,586,170 10,293,085 30,879,256 15,439,628 7,719,814 3,859,907 11,579,722 5,789,861 17,369,584 8,684,792 4,342,396 2,171,198 1,085,599 3,256,798 1,628,399 4,885,198 2,442,599 7,327,798 3,663,899 10,991,698 5,495,849 16,487,548 8,243,774 4,121,887 12,365,662 6,182,831 18,548,494 9,274,247 27,822,742 13,911,371 41,734,114 20,867,057 62,601,172 31,300,586 15,650,293 46,950,880 23,475,440 11,737,720 5,868,860 2,934,430 1,467,215 4,401,646 2,200,823 6,602,470 3,301,235 9,903,706 4,951,853 14,855,560 7,427,780

More profiles

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