λ
Harmonic Matrix

4,566,871

4566871
Deficient Odd Prime

4,566,871 has digital root 1. The neighboring primes are 4566869 and 4566883; its proper-divisor sum differs from the starting integer by -4,566,870.

Prime Factor Structure

Factorization String 4566871
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,566,872
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4566869 ← → #4566883

Radix Representation

Decimal 4566871
Binary 10001011010111101010111 (23 bits)
Octal 0o21327527
Hexadecimal 0x45AF57

Divisor Catalog (2)

Collatz Trajectory (131 steps to reach 1)

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

4,566,871 13,700,614 6,850,307 20,550,922 10,275,461 30,826,384 15,413,192 7,706,596 3,853,298 1,926,649 5,779,948 2,889,974 1,444,987 4,334,962 2,167,481 6,502,444 3,251,222 1,625,611 4,876,834 2,438,417 7,315,252 3,657,626 1,828,813 5,486,440 2,743,220 1,371,610 685,805 2,057,416 1,028,708 514,354 257,177 771,532 385,766 192,883 578,650 289,325 867,976 433,988 216,994 108,497 325,492 162,746 81,373 244,120 122,060 61,030 30,515 91,546 45,773 137,320 68,660 34,330 17,165 51,496 25,748 12,874 6,437 19,312 9,656 4,828

More profiles

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