4,010,396

2² × 13 × 233 × 331

4,010,396 factors as 2^2 × 13 × 233 × 331. Its 24 positive divisors give a proper-divisor sum of 3,603,028, so this integer is deficient. The Collatz stopping time is 273 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 233 × 331

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,613,424

Proper Divisor Sum 3,603,028

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4010371 ← → #4010399

Radix Representation

Decimal	4010396
Binary	1111010011000110011100 (22 bits)
Octal	0o17230634
Hexadecimal	0x3D319C

Divisor Catalog (24)

Collatz Trajectory (273 steps to reach 1)

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

4,010,396 2,005,198 1,002,599 3,007,798 1,503,899 4,511,698 2,255,849 6,767,548 3,383,774 1,691,887 5,075,662 2,537,831 7,613,494 3,806,747 11,420,242 5,710,121 17,130,364 8,565,182 4,282,591 12,847,774 6,423,887 19,271,662 9,635,831 28,907,494 14,453,747 43,361,242 21,680,621 65,041,864 32,520,932 16,260,466 8,130,233 24,390,700 12,195,350 6,097,675 18,293,026 9,146,513 27,439,540 13,719,770 6,859,885 20,579,656 10,289,828 5,144,914 2,572,457 7,717,372 3,858,686 1,929,343 5,788,030 2,894,015 8,682,046 4,341,023 13,023,070 6,511,535 19,534,606 9,767,303 29,301,910 14,650,955 43,952,866 21,976,433 65,929,300 32,964,650

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