λ
Harmonic Matrix

1,701,532

22 × 7 × 67 × 907
Abundant Even Composite

1,701,532 has digital root 1. The neighboring primes are 1701527 and 1701533; its proper-divisor sum differs from the starting integer by 54,600.

Prime Factor Structure

Factorization String 2^2 × 7 × 67 × 907
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,457,664
Proper Divisor Sum 1,756,132
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1701527 ← → #1701533

Radix Representation

Decimal 1701532
Binary 110011111011010011100 (21 bits)
Octal 0o6373234
Hexadecimal 0x19F69C

Divisor Catalog (24)

1 2 4 7 14 28 67 134 268 469 907 938 1,814 1,876 3,628 6,349 12,698 25,396 60,769 121,538 243,076 425,383 850,766 1,701,532

Collatz Trajectory (220 steps to reach 1)

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

1,701,532 850,766 425,383 1,276,150 638,075 1,914,226 957,113 2,871,340 1,435,670 717,835 2,153,506 1,076,753 3,230,260 1,615,130 807,565 2,422,696 1,211,348 605,674 302,837 908,512 454,256 227,128 113,564 56,782 28,391 85,174 42,587 127,762 63,881 191,644 95,822 47,911 143,734 71,867 215,602 107,801 323,404 161,702 80,851 242,554 121,277 363,832 181,916 90,958 45,479 136,438 68,219 204,658 102,329 306,988 153,494 76,747 230,242 115,121 345,364 172,682 86,341 259,024 129,512 64,756

More profiles

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