λ
Harmonic Matrix

4,272,467

379 × 11273
Deficient Odd Composite

4,272,467 has digital root 5. The neighboring primes are 4272461 and 4272469; its proper-divisor sum differs from the starting integer by -4,260,814.

Prime Factor Structure

Factorization String 379 × 11273
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,284,120
Proper Divisor Sum 11,653
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4272461 ← → #4272469

Radix Representation

Decimal 4272467
Binary 10000010011000101010011 (23 bits)
Octal 0o20230523
Hexadecimal 0x413153

Divisor Catalog (4)

1 379 11,273 4,272,467

Collatz Trajectory (105 steps to reach 1)

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

4,272,467 12,817,402 6,408,701 19,226,104 9,613,052 4,806,526 2,403,263 7,209,790 3,604,895 10,814,686 5,407,343 16,222,030 8,111,015 24,333,046 12,166,523 36,499,570 18,249,785 54,749,356 27,374,678 13,687,339 41,062,018 20,531,009 61,593,028 30,796,514 15,398,257 46,194,772 23,097,386 11,548,693 34,646,080 17,323,040 8,661,520 4,330,760 2,165,380 1,082,690 541,345 1,624,036 812,018 406,009 1,218,028 609,014 304,507 913,522 456,761 1,370,284 685,142 342,571 1,027,714 513,857 1,541,572 770,786 385,393 1,156,180 578,090 289,045 867,136 433,568 216,784 108,392 54,196 27,098

More profiles

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