λ
Match Zalai

1,589,763

3 × 7 × 75703
Deficient Odd Composite

1,589,763 factors as 3 × 7 × 75703. Its 8 positive divisors give a proper-divisor sum of 832,765, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 3 × 7 × 75703
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,422,528
Proper Divisor Sum 832,765
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1589747 ← → #1589771

Radix Representation

Decimal 1589763
Binary 110000100001000000011 (21 bits)
Octal 0o6041003
Hexadecimal 0x184203

Divisor Catalog (8)

1 3 7 21 75,703 227,109 529,921 1,589,763

Collatz Trajectory (145 steps to reach 1)

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

1,589,763 4,769,290 2,384,645 7,153,936 3,576,968 1,788,484 894,242 447,121 1,341,364 670,682 335,341 1,006,024 503,012 251,506 125,753 377,260 188,630 94,315 282,946 141,473 424,420 212,210 106,105 318,316 159,158 79,579 238,738 119,369 358,108 179,054 89,527 268,582 134,291 402,874 201,437 604,312 302,156 151,078 75,539 226,618 113,309 339,928 169,964 84,982 42,491 127,474 63,737 191,212 95,606 47,803 143,410 71,705 215,116 107,558 53,779 161,338 80,669 242,008 121,004 60,502

More profiles

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