λ
Prime Ledger

1,627,713

32 × 83 × 2179
Deficient Odd Composite

1,627,713 has the prime decomposition 3^2 × 83 × 2179. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 83 × 2179
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,380,560
Proper Divisor Sum 752,847
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1627693 ← → #1627723

Radix Representation

Decimal 1627713
Binary 110001101011001000001 (21 bits)
Octal 0o6153101
Hexadecimal 0x18D641

Divisor Catalog (12)

1 3 9 83 249 747 2,179 6,537 19,611 180,857 542,571 1,627,713

Collatz Trajectory (114 steps to reach 1)

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

1,627,713 4,883,140 2,441,570 1,220,785 3,662,356 1,831,178 915,589 2,746,768 1,373,384 686,692 343,346 171,673 515,020 257,510 128,755 386,266 193,133 579,400 289,700 144,850 72,425 217,276 108,638 54,319 162,958 81,479 244,438 122,219 366,658 183,329 549,988 274,994 137,497 412,492 206,246 103,123 309,370 154,685 464,056 232,028 116,014 58,007 174,022 87,011 261,034 130,517 391,552 195,776 97,888 48,944 24,472 12,236 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721

More profiles

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