λ
Harmonic Matrix

1,468,374

2 × 3 × 41 × 47 × 127
Abundant Even Composite

1,468,374 has digital root 6. The neighboring primes are 1468277 and 1468387; its proper-divisor sum differs from the starting integer by 159,828.

Prime Factor Structure

Factorization String 2 × 3 × 41 × 47 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,096,576
Proper Divisor Sum 1,628,202
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1468277 ← → #1468387

Radix Representation

Decimal 1468374
Binary 101100110011111010110 (21 bits)
Octal 0o5463726
Hexadecimal 0x1667D6

Divisor Catalog (32)

1 2 3 6 41 47 82 94 123 127 141 246 254 282 381 762 1,927 3,854 5,207 5,781 5,969 10,414 11,562 11,938 15,621 17,907 31,242 35,814 244,729 489,458 734,187 1,468,374

Collatz Trajectory (88 steps to reach 1)

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

1,468,374 734,187 2,202,562 1,101,281 3,303,844 1,651,922 825,961 2,477,884 1,238,942 619,471 1,858,414 929,207 2,787,622 1,393,811 4,181,434 2,090,717 6,272,152 3,136,076 1,568,038 784,019 2,352,058 1,176,029 3,528,088 1,764,044 882,022 441,011 1,323,034 661,517 1,984,552 992,276 496,138 248,069 744,208 372,104 186,052 93,026 46,513 139,540 69,770 34,885 104,656 52,328 26,164 13,082 6,541 19,624 9,812 4,906 2,453 7,360 3,680 1,840 920 460 230 115 346 173 520 260

More profiles

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