λ
Harmonic Matrix

4,545,307

13 × 17 × 131 × 157
Deficient Odd Composite

4,545,307 has digital root 1. The neighboring primes are 4545269 and 4545337; its proper-divisor sum differs from the starting integer by -3,834,902.

Prime Factor Structure

Factorization String 13 × 17 × 131 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,255,712
Proper Divisor Sum 710,405
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4545269 ← → #4545337

Radix Representation

Decimal 4545307
Binary 10001010101101100011011 (23 bits)
Octal 0o21255433
Hexadecimal 0x455B1B

Divisor Catalog (16)

1 13 17 131 157 221 1,703 2,041 2,227 2,669 20,567 28,951 34,697 267,371 349,639 4,545,307

Collatz Trajectory (224 steps to reach 1)

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

4,545,307 13,635,922 6,817,961 20,453,884 10,226,942 5,113,471 15,340,414 7,670,207 23,010,622 11,505,311 34,515,934 17,257,967 51,773,902 25,886,951 77,660,854 38,830,427 116,491,282 58,245,641 174,736,924 87,368,462 43,684,231 131,052,694 65,526,347 196,579,042 98,289,521 294,868,564 147,434,282 73,717,141 221,151,424 110,575,712 55,287,856 27,643,928 13,821,964 6,910,982 3,455,491 10,366,474 5,183,237 15,549,712 7,774,856 3,887,428 1,943,714 971,857 2,915,572 1,457,786 728,893 2,186,680 1,093,340 546,670 273,335 820,006 410,003 1,230,010 615,005 1,845,016 922,508 461,254 230,627 691,882 345,941 1,037,824

More profiles

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