4,377,667

7 × 431 × 1451

For 4,377,667, the 8 positive divisors have a total of 5,018,112. Removing 4,377,667 leaves 640,445, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 431 × 1451

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,018,112

Proper Divisor Sum 640,445

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #4377661 ← → #4377671

Radix Representation

Decimal	4377667
Binary	10000101100110001000011 (23 bits)
Octal	0o20546103
Hexadecimal	0x42CC43

Divisor Catalog (8)

1 7 431 1,451 3,017 10,157 625,381 4,377,667

Collatz Trajectory (242 steps to reach 1)

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

4,377,667 13,133,002 6,566,501 19,699,504 9,849,752 4,924,876 2,462,438 1,231,219 3,693,658 1,846,829 5,540,488 2,770,244 1,385,122 692,561 2,077,684 1,038,842 519,421 1,558,264 779,132 389,566 194,783 584,350 292,175 876,526 438,263 1,314,790 657,395 1,972,186 986,093 2,958,280 1,479,140 739,570 369,785 1,109,356 554,678 277,339 832,018 416,009 1,248,028 624,014 312,007 936,022 468,011 1,404,034 702,017 2,106,052 1,053,026 526,513 1,579,540 789,770 394,885 1,184,656 592,328 296,164 148,082 74,041 222,124 111,062 55,531 166,594

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