3,781,372

2² × 7 × 135049

3,781,372 has digital root 4. The neighboring primes are 3781367 and 3781387; its proper-divisor sum differs from the starting integer by 56.

Prime Factor Structure

Factorization String 2^2 × 7 × 135049

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,562,800

Proper Divisor Sum 3,781,428

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3781367 ← → #3781387

Radix Representation

Decimal	3781372
Binary	1110011011001011111100 (22 bits)
Octal	0o16331374
Hexadecimal	0x39B2FC

Divisor Catalog (12)

1 2 4 7 14 28 135,049 270,098 540,196 945,343 1,890,686 3,781,372

Collatz Trajectory (110 steps to reach 1)

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

3,781,372 1,890,686 945,343 2,836,030 1,418,015 4,254,046 2,127,023 6,381,070 3,190,535 9,571,606 4,785,803 14,357,410 7,178,705 21,536,116 10,768,058 5,384,029 16,152,088 8,076,044 4,038,022 2,019,011 6,057,034 3,028,517 9,085,552 4,542,776 2,271,388 1,135,694 567,847 1,703,542 851,771 2,555,314 1,277,657 3,832,972 1,916,486 958,243 2,874,730 1,437,365 4,312,096 2,156,048 1,078,024 539,012 269,506 134,753 404,260 202,130 101,065 303,196 151,598 75,799 227,398 113,699 341,098 170,549 511,648 255,824 127,912 63,956 31,978 15,989 47,968 23,984

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