λ
Harmonic Matrix

5,249,078

2 × 2624539
Deficient Even Composite

5,249,078 has digital root 8. The neighboring primes are 5249077 and 5249081; its proper-divisor sum differs from the starting integer by -2,624,536.

Prime Factor Structure

Factorization String 2 × 2624539
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,873,620
Proper Divisor Sum 2,624,542
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5249077 ← → #5249081

Radix Representation

Decimal 5249078
Binary 10100000001100000110110 (23 bits)
Octal 0o24014066
Hexadecimal 0x501836

Divisor Catalog (4)

1 2 2,624,539 5,249,078

Collatz Trajectory (149 steps to reach 1)

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

5,249,078 2,624,539 7,873,618 3,936,809 11,810,428 5,905,214 2,952,607 8,857,822 4,428,911 13,286,734 6,643,367 19,930,102 9,965,051 29,895,154 14,947,577 44,842,732 22,421,366 11,210,683 33,632,050 16,816,025 50,448,076 25,224,038 12,612,019 37,836,058 18,918,029 56,754,088 28,377,044 14,188,522 7,094,261 21,282,784 10,641,392 5,320,696 2,660,348 1,330,174 665,087 1,995,262 997,631 2,992,894 1,496,447 4,489,342 2,244,671 6,734,014 3,367,007 10,101,022 5,050,511 15,151,534 7,575,767 22,727,302 11,363,651 34,090,954 17,045,477 51,136,432 25,568,216 12,784,108 6,392,054 3,196,027 9,588,082 4,794,041 14,382,124 7,191,062

More profiles

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