407,791

407791

407,791 factors as 407791. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 407791

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 407,792

Proper Divisor Sum 1

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #407789 ← → #407801

Radix Representation

Decimal	407791
Binary	1100011100011101111 (19 bits)
Octal	0o1434357
Hexadecimal	0x638EF

Divisor Catalog (2)

1 407,791

Collatz Trajectory (205 steps to reach 1)

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

407,791 1,223,374 611,687 1,835,062 917,531 2,752,594 1,376,297 4,128,892 2,064,446 1,032,223 3,096,670 1,548,335 4,645,006 2,322,503 6,967,510 3,483,755 10,451,266 5,225,633 15,676,900 7,838,450 3,919,225 11,757,676 5,878,838 2,939,419 8,818,258 4,409,129 13,227,388 6,613,694 3,306,847 9,920,542 4,960,271 14,880,814 7,440,407 22,321,222 11,160,611 33,481,834 16,740,917 50,222,752 25,111,376 12,555,688 6,277,844 3,138,922 1,569,461 4,708,384 2,354,192 1,177,096 588,548 294,274 147,137 441,412 220,706 110,353 331,060 165,530 82,765 248,296 124,148 62,074 31,037 93,112

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