4,101,007

727 × 5641

4,101,007 factors as 727 × 5641. Its 4 positive divisors give a proper-divisor sum of 6,369, so this integer is deficient. The Collatz stopping time is 335 steps.

Prime Factor Structure

Factorization String 727 × 5641

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,107,376

Proper Divisor Sum 6,369

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #4100983 ← → #4101011

Radix Representation

Decimal	4101007
Binary	1111101001001110001111 (22 bits)
Octal	0o17511617
Hexadecimal	0x3E938F

Divisor Catalog (4)

1 727 5,641 4,101,007

Collatz Trajectory (335 steps to reach 1)

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

4,101,007 12,303,022 6,151,511 18,454,534 9,227,267 27,681,802 13,840,901 41,522,704 20,761,352 10,380,676 5,190,338 2,595,169 7,785,508 3,892,754 1,946,377 5,839,132 2,919,566 1,459,783 4,379,350 2,189,675 6,569,026 3,284,513 9,853,540 4,926,770 2,463,385 7,390,156 3,695,078 1,847,539 5,542,618 2,771,309 8,313,928 4,156,964 2,078,482 1,039,241 3,117,724 1,558,862 779,431 2,338,294 1,169,147 3,507,442 1,753,721 5,261,164 2,630,582 1,315,291 3,945,874 1,972,937 5,918,812 2,959,406 1,479,703 4,439,110 2,219,555 6,658,666 3,329,333 9,988,000 4,994,000 2,497,000 1,248,500 624,250 312,125 936,376

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