4,177,050

2 × 3 × 5² × 27847

4,177,050 has digital root 6. The neighboring primes are 4176973 and 4177051; its proper-divisor sum differs from the starting integer by 2,005,356.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 27847

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,359,456

Proper Divisor Sum 6,182,406

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4176973 ← → #4177051

Radix Representation

Decimal	4177050
Binary	1111111011110010011010 (22 bits)
Octal	0o17736232
Hexadecimal	0x3FBC9A

Divisor Catalog (24)

1 2 3 5 6 10 15 25 30 50 75 150 27,847 55,694 83,541 139,235 167,082 278,470 417,705 696,175 835,410 1,392,350 2,088,525 4,177,050

Collatz Trajectory (136 steps to reach 1)

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

4,177,050 2,088,525 6,265,576 3,132,788 1,566,394 783,197 2,349,592 1,174,796 587,398 293,699 881,098 440,549 1,321,648 660,824 330,412 165,206 82,603 247,810 123,905 371,716 185,858 92,929 278,788 139,394 69,697 209,092 104,546 52,273 156,820 78,410 39,205 117,616 58,808 29,404 14,702 7,351 22,054 11,027 33,082 16,541 49,624 24,812 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418

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