1,978,048

2⁶ × 31 × 997

1,978,048 is even and not a perfect square. Its factorization is 2^6 × 31 × 997 and its 28 divisors sum to 4,055,872.

Prime Factor Structure

Factorization String 2^6 × 31 × 997

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 4,055,872

Proper Divisor Sum 2,077,824

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #1978037 ← → #1978051

Radix Representation

Decimal	1978048
Binary	111100010111011000000 (21 bits)
Octal	0o7427300
Hexadecimal	0x1E2EC0

Divisor Catalog (28)

1 2 4 8 16 31 32 62 64 124 248 496 992 997 1,984 1,994 3,988 7,976 15,952 30,907 31,904 61,814 63,808 123,628 247,256 494,512 989,024 1,978,048

Collatz Trajectory (96 steps to reach 1)

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

1,978,048 989,024 494,512 247,256 123,628 61,814 30,907 92,722 46,361 139,084 69,542 34,771 104,314 52,157 156,472 78,236 39,118 19,559 58,678 29,339 88,018 44,009 132,028 66,014 33,007 99,022 49,511 148,534 74,267 222,802 111,401 334,204 167,102 83,551 250,654 125,327 375,982 187,991 563,974 281,987 845,962 422,981 1,268,944 634,472 317,236 158,618 79,309 237,928 118,964 59,482 29,741 89,224 44,612 22,306 11,153 33,460 16,730 8,365 25,096 12,548

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