λ
Harmonic Matrix

4,586,401

47 × 97583
Deficient Odd Composite

4,586,401 has digital root 1. The neighboring primes are 4586377 and 4586411; its proper-divisor sum differs from the starting integer by -4,488,770.

Prime Factor Structure

Factorization String 47 × 97583
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,684,032
Proper Divisor Sum 97,631
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4586377 ← → #4586411

Radix Representation

Decimal 4586401
Binary 10001011111101110100001 (23 bits)
Octal 0o21375641
Hexadecimal 0x45FBA1

Divisor Catalog (4)

1 47 97,583 4,586,401

Collatz Trajectory (193 steps to reach 1)

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

4,586,401 13,759,204 6,879,602 3,439,801 10,319,404 5,159,702 2,579,851 7,739,554 3,869,777 11,609,332 5,804,666 2,902,333 8,707,000 4,353,500 2,176,750 1,088,375 3,265,126 1,632,563 4,897,690 2,448,845 7,346,536 3,673,268 1,836,634 918,317 2,754,952 1,377,476 688,738 344,369 1,033,108 516,554 258,277 774,832 387,416 193,708 96,854 48,427 145,282 72,641 217,924 108,962 54,481 163,444 81,722 40,861 122,584 61,292 30,646 15,323 45,970 22,985 68,956 34,478 17,239 51,718 25,859 77,578 38,789 116,368 58,184 29,092

More profiles

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