λ
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Atlas › Integer Profiles › Node 761,691

761,691

3 × 7 × 19 × 23 × 83
Deficient Odd Composite

761,691 factors as 3 × 7 × 19 × 23 × 83. Its 32 positive divisors give a proper-divisor sum of 528,549, so this integer is deficient. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 3 × 7 × 19 × 23 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,290,240
Proper Divisor Sum 528,549
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #761689 ← → #761711

Radix Representation

Decimal 761691
Binary 10111001111101011011 (20 bits)
Octal 0o2717533
Hexadecimal 0xB9F5B

Divisor Catalog (32)

1 3 7 19 21 23 57 69 83 133 161 249 399 437 483 581 1,311 1,577 1,743 1,909 3,059 4,731 5,727 9,177 11,039 13,363 33,117 36,271 40,089 108,813 253,897 761,691

Collatz Trajectory (255 steps to reach 1)

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

761,691 2,285,074 1,142,537 3,427,612 1,713,806 856,903 2,570,710 1,285,355 3,856,066 1,928,033 5,784,100 2,892,050 1,446,025 4,338,076 2,169,038 1,084,519 3,253,558 1,626,779 4,880,338 2,440,169 7,320,508 3,660,254 1,830,127 5,490,382 2,745,191 8,235,574 4,117,787 12,353,362 6,176,681 18,530,044 9,265,022 4,632,511 13,897,534 6,948,767 20,846,302 10,423,151 31,269,454 15,634,727 46,904,182 23,452,091 70,356,274 35,178,137 105,534,412 52,767,206 26,383,603 79,150,810 39,575,405 118,726,216 59,363,108 29,681,554 14,840,777 44,522,332 22,261,166 11,130,583 33,391,750 16,695,875 50,087,626 25,043,813 75,131,440 37,565,720

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