411,990

2 × 3 × 5 × 31 × 443

411,990 factors as 2 × 3 × 5 × 31 × 443. Its 32 positive divisors give a proper-divisor sum of 610,986, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 31 × 443

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,022,976

Proper Divisor Sum 610,986

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #411967 ← → #411991

Radix Representation

Decimal	411990
Binary	1100100100101010110 (19 bits)
Octal	0o1444526
Hexadecimal	0x64956

Divisor Catalog (32)

1 2 3 5 6 10 15 30 31 62 93 155 186 310 443 465 886 930 1,329 2,215 2,658 4,430 6,645 13,290 13,733 27,466 41,199 68,665 82,398 137,330 205,995 411,990

Collatz Trajectory (112 steps to reach 1)

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

411,990 205,995 617,986 308,993 926,980 463,490 231,745 695,236 347,618 173,809 521,428 260,714 130,357 391,072 195,536 97,768 48,884 24,442 12,221 36,664 18,332 9,166 4,583 13,750 6,875 20,626 10,313 30,940 15,470 7,735 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686

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