λ
Prime Ledger

1,474,788

22 × 3 × 7 × 97 × 181
Abundant Even Composite

1,474,788 has the prime decomposition 2^2 × 3 × 7 × 97 × 181. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 97 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,995,264
Proper Divisor Sum 2,520,476
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1474787 ← → #1474793

Radix Representation

Decimal 1474788
Binary 101101000000011100100 (21 bits)
Octal 0o5500344
Hexadecimal 0x1680E4

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 97 181 194 291 362 388 543 582 679 724 1,086 1,164 1,267 1,358 2,037 2,172 2,534 2,716 3,801 4,074 5,068 7,602 8,148 15,204 17,557 35,114 52,671 70,228 105,342 122,899 210,684 245,798 368,697 491,596 737,394 1,474,788

Collatz Trajectory (62 steps to reach 1)

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

1,474,788 737,394 368,697 1,106,092 553,046 276,523 829,570 414,785 1,244,356 622,178 311,089 933,268 466,634 233,317 699,952 349,976 174,988 87,494 43,747 131,242 65,621 196,864 98,432 49,216 24,608 12,304 6,152 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8

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