λ
Harmonic Matrix

4,372,255

5 × 79 × 11069
Deficient Odd Composite

4,372,255 has digital root 1. The neighboring primes are 4372241 and 4372259; its proper-divisor sum differs from the starting integer by -3,430,910.

Prime Factor Structure

Factorization String 5 × 79 × 11069
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,313,600
Proper Divisor Sum 941,345
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4372241 ← → #4372259

Radix Representation

Decimal 4372255
Binary 10000101011011100011111 (23 bits)
Octal 0o20533437
Hexadecimal 0x42B71F

Divisor Catalog (8)

1 5 79 395 11,069 55,345 874,451 4,372,255

Collatz Trajectory (211 steps to reach 1)

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

4,372,255 13,116,766 6,558,383 19,675,150 9,837,575 29,512,726 14,756,363 44,269,090 22,134,545 66,403,636 33,201,818 16,600,909 49,802,728 24,901,364 12,450,682 6,225,341 18,676,024 9,338,012 4,669,006 2,334,503 7,003,510 3,501,755 10,505,266 5,252,633 15,757,900 7,878,950 3,939,475 11,818,426 5,909,213 17,727,640 8,863,820 4,431,910 2,215,955 6,647,866 3,323,933 9,971,800 4,985,900 2,492,950 1,246,475 3,739,426 1,869,713 5,609,140 2,804,570 1,402,285 4,206,856 2,103,428 1,051,714 525,857 1,577,572 788,786 394,393 1,183,180 591,590 295,795 887,386 443,693 1,331,080 665,540 332,770 166,385

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