λ
Zalai Atlas

1,471,464

23 × 32 × 107 × 191
Abundant Even Composite

1,471,464 has the prime decomposition 2^3 × 3^2 × 107 × 191. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 107 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,043,520
Proper Divisor Sum 2,572,056
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1471447 ← → #1471487

Radix Representation

Decimal 1471464
Binary 101100111001111101000 (21 bits)
Octal 0o5471750
Hexadecimal 0x1673E8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 107 191 214 321 382 428 573 642 764 856 963 1,146 1,284 1,528 1,719 1,926 2,292 2,568 3,438 3,852 4,584 6,876 7,704 13,752 20,437 40,874 61,311 81,748 122,622 163,496 183,933 245,244 367,866 490,488 735,732 1,471,464

Collatz Trajectory (150 steps to reach 1)

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

1,471,464 735,732 367,866 183,933 551,800 275,900 137,950 68,975 206,926 103,463 310,390 155,195 465,586 232,793 698,380 349,190 174,595 523,786 261,893 785,680 392,840 196,420 98,210 49,105 147,316 73,658 36,829 110,488 55,244 27,622 13,811 41,434 20,717 62,152 31,076 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341

More profiles

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