40,980,452

2² × 1721 × 5953

40,980,452 factors as 2^2 × 1721 × 5953. Its 12 positive divisors give a proper-divisor sum of 30,789,064, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 1721 × 5953

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 71,769,516

Proper Divisor Sum 30,789,064

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #40980431 ← → #40980461

Radix Representation

Decimal	40980452
Binary	10011100010100111111100100 (26 bits)
Octal	0o234247744
Hexadecimal	0x2714FE4

Divisor Catalog (12)

1 2 4 1,721 3,442 5,953 6,884 11,906 23,812 10,245,113 20,490,226 40,980,452

Collatz Trajectory (129 steps to reach 1)

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

40,980,452 20,490,226 10,245,113 30,735,340 15,367,670 7,683,835 23,051,506 11,525,753 34,577,260 17,288,630 8,644,315 25,932,946 12,966,473 38,899,420 19,449,710 9,724,855 29,174,566 14,587,283 43,761,850 21,880,925 65,642,776 32,821,388 16,410,694 8,205,347 24,616,042 12,308,021 36,924,064 18,462,032 9,231,016 4,615,508 2,307,754 1,153,877 3,461,632 1,730,816 865,408 432,704 216,352 108,176 54,088 27,044 13,522 6,761 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222

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