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Atlas › Integer Profiles › Node 3,554,331

3,554,331

3 × 11 × 37 × 41 × 71
Deficient Odd Composite

3,554,331 factors as 3 × 11 × 37 × 41 × 71. Its 32 positive divisors give a proper-divisor sum of 1,961,445, so this integer is deficient. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 3 × 11 × 37 × 41 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,515,776
Proper Divisor Sum 1,961,445
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3554267 ← → #3554333

Radix Representation

Decimal 3554331
Binary 1101100011110000011011 (22 bits)
Octal 0o15436033
Hexadecimal 0x363C1B

Divisor Catalog (32)

1 3 11 33 37 41 71 111 123 213 407 451 781 1,221 1,353 1,517 2,343 2,627 2,911 4,551 7,881 8,733 16,687 28,897 32,021 50,061 86,691 96,063 107,707 323,121 1,184,777 3,554,331

Collatz Trajectory (221 steps to reach 1)

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

3,554,331 10,662,994 5,331,497 15,994,492 7,997,246 3,998,623 11,995,870 5,997,935 17,993,806 8,996,903 26,990,710 13,495,355 40,486,066 20,243,033 60,729,100 30,364,550 15,182,275 45,546,826 22,773,413 68,320,240 34,160,120 17,080,060 8,540,030 4,270,015 12,810,046 6,405,023 19,215,070 9,607,535 28,822,606 14,411,303 43,233,910 21,616,955 64,850,866 32,425,433 97,276,300 48,638,150 24,319,075 72,957,226 36,478,613 109,435,840 54,717,920 27,358,960 13,679,480 6,839,740 3,419,870 1,709,935 5,129,806 2,564,903 7,694,710 3,847,355 11,542,066 5,771,033 17,313,100 8,656,550 4,328,275 12,984,826 6,492,413 19,477,240 9,738,620 4,869,310

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