λ
Harmonic Matrix

3,646,343

3646343
Deficient Odd Prime

3,646,343 has digital root 2. The neighboring primes are 3646339 and 3646361; its proper-divisor sum differs from the starting integer by -3,646,342.

Prime Factor Structure

Factorization String 3646343
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,646,344
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3646339 ← → #3646361

Radix Representation

Decimal 3646343
Binary 1101111010001110000111 (22 bits)
Octal 0o15721607
Hexadecimal 0x37A387

Divisor Catalog (2)

Collatz Trajectory (110 steps to reach 1)

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

3,646,343 10,939,030 5,469,515 16,408,546 8,204,273 24,612,820 12,306,410 6,153,205 18,459,616 9,229,808 4,614,904 2,307,452 1,153,726 576,863 1,730,590 865,295 2,595,886 1,297,943 3,893,830 1,946,915 5,840,746 2,920,373 8,761,120 4,380,560 2,190,280 1,095,140 547,570 273,785 821,356 410,678 205,339 616,018 308,009 924,028 462,014 231,007 693,022 346,511 1,039,534 519,767 1,559,302 779,651 2,338,954 1,169,477 3,508,432 1,754,216 877,108 438,554 219,277 657,832 328,916 164,458 82,229 246,688 123,344 61,672 30,836 15,418 7,709 23,128

More profiles

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