λ
Prime Ledger

1,760,827

41 × 67 × 641
Deficient Odd Composite

1,760,827 has the prime decomposition 41 × 67 × 641. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 41 × 67 × 641
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,833,552
Proper Divisor Sum 72,725
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1760813 ← → #1760849

Radix Representation

Decimal 1760827
Binary 110101101111000111011 (21 bits)
Octal 0o6557073
Hexadecimal 0x1ADE3B

Divisor Catalog (8)

1 41 67 641 2,747 26,281 42,947 1,760,827

Collatz Trajectory (189 steps to reach 1)

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

1,760,827 5,282,482 2,641,241 7,923,724 3,961,862 1,980,931 5,942,794 2,971,397 8,914,192 4,457,096 2,228,548 1,114,274 557,137 1,671,412 835,706 417,853 1,253,560 626,780 313,390 156,695 470,086 235,043 705,130 352,565 1,057,696 528,848 264,424 132,212 66,106 33,053 99,160 49,580 24,790 12,395 37,186 18,593 55,780 27,890 13,945 41,836 20,918 10,459 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716 19,858 9,929 29,788 14,894 7,447 22,342 11,171

More profiles

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