λ
Harmonic Matrix

2,545,727

2545727
Deficient Odd Prime

2,545,727 has digital root 5. The neighboring primes are 2545703 and 2545757; its proper-divisor sum differs from the starting integer by -2,545,726.

Prime Factor Structure

Factorization String 2545727
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,545,728
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2545703 ← → #2545757

Radix Representation

Decimal 2545727
Binary 1001101101100000111111 (22 bits)
Octal 0o11554077
Hexadecimal 0x26D83F

Divisor Catalog (2)

Collatz Trajectory (280 steps to reach 1)

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

2,545,727 7,637,182 3,818,591 11,455,774 5,727,887 17,183,662 8,591,831 25,775,494 12,887,747 38,663,242 19,331,621 57,994,864 28,997,432 14,498,716 7,249,358 3,624,679 10,874,038 5,437,019 16,311,058 8,155,529 24,466,588 12,233,294 6,116,647 18,349,942 9,174,971 27,524,914 13,762,457 41,287,372 20,643,686 10,321,843 30,965,530 15,482,765 46,448,296 23,224,148 11,612,074 5,806,037 17,418,112 8,709,056 4,354,528 2,177,264 1,088,632 544,316 272,158 136,079 408,238 204,119 612,358 306,179 918,538 459,269 1,377,808 688,904 344,452 172,226 86,113 258,340 129,170 64,585 193,756 96,878

More profiles

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