4,126,591

7 × 19² × 23 × 71

4,126,591 factors as 7 × 19^2 × 23 × 71. Its 24 positive divisors give a proper-divisor sum of 1,140,353, so this integer is deficient. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 7 × 19^2 × 23 × 71

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,266,944

Proper Divisor Sum 1,140,353

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4126579 ← → #4126607

Radix Representation

Decimal	4126591
Binary	1111101111011101111111 (22 bits)
Octal	0o17573577
Hexadecimal	0x3EF77F

Divisor Catalog (24)

Collatz Trajectory (229 steps to reach 1)

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

4,126,591 12,379,774 6,189,887 18,569,662 9,284,831 27,854,494 13,927,247 41,781,742 20,890,871 62,672,614 31,336,307 94,008,922 47,004,461 141,013,384 70,506,692 35,253,346 17,626,673 52,880,020 26,440,010 13,220,005 39,660,016 19,830,008 9,915,004 4,957,502 2,478,751 7,436,254 3,718,127 11,154,382 5,577,191 16,731,574 8,365,787 25,097,362 12,548,681 37,646,044 18,823,022 9,411,511 28,234,534 14,117,267 42,351,802 21,175,901 63,527,704 31,763,852 15,881,926 7,940,963 23,822,890 11,911,445 35,734,336 17,867,168 8,933,584 4,466,792 2,233,396 1,116,698 558,349 1,675,048 837,524 418,762 209,381 628,144 314,072 157,036

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