λ
Harmonic Matrix

4,365,947

31 × 140837
Deficient Odd Composite

4,365,947 has digital root 2. The neighboring primes are 4365931 and 4365961; its proper-divisor sum differs from the starting integer by -4,225,078.

Prime Factor Structure

Factorization String 31 × 140837
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,506,816
Proper Divisor Sum 140,869
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4365931 ← → #4365961

Radix Representation

Decimal 4365947
Binary 10000101001111001111011 (23 bits)
Octal 0o20517173
Hexadecimal 0x429E7B

Divisor Catalog (4)

1 31 140,837 4,365,947

Collatz Trajectory (149 steps to reach 1)

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

4,365,947 13,097,842 6,548,921 19,646,764 9,823,382 4,911,691 14,735,074 7,367,537 22,102,612 11,051,306 5,525,653 16,576,960 8,288,480 4,144,240 2,072,120 1,036,060 518,030 259,015 777,046 388,523 1,165,570 582,785 1,748,356 874,178 437,089 1,311,268 655,634 327,817 983,452 491,726 245,863 737,590 368,795 1,106,386 553,193 1,659,580 829,790 414,895 1,244,686 622,343 1,867,030 933,515 2,800,546 1,400,273 4,200,820 2,100,410 1,050,205 3,150,616 1,575,308 787,654 393,827 1,181,482 590,741 1,772,224 886,112 443,056 221,528 110,764 55,382 27,691

More profiles

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