276,825

3 × 5² × 3691

Starting at 276,825, the Collatz iteration reaches 1 after 176 steps. The first transition is 830476; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 3691

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 457,808

Proper Divisor Sum 180,983

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #276823 ← → #276827

Radix Representation

Decimal	276825
Binary	1000011100101011001 (19 bits)
Octal	0o1034531
Hexadecimal	0x43959

Divisor Catalog (12)

1 3 5 15 25 75 3,691 11,073 18,455 55,365 92,275 276,825

Collatz Trajectory (176 steps to reach 1)

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

276,825 830,476 415,238 207,619 622,858 311,429 934,288 467,144 233,572 116,786 58,393 175,180 87,590 43,795 131,386 65,693 197,080 98,540 49,270 24,635 73,906 36,953 110,860 55,430 27,715 83,146 41,573 124,720 62,360 31,180 15,590 7,795 23,386 11,693 35,080 17,540 8,770 4,385 13,156 6,578 3,289 9,868 4,934 2,467 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762

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