λ
Sigma Notebook

1,735,131

3 × 59 × 9803
Deficient Odd Composite

1,735,131 is odd and not a perfect square. Its factorization is 3 × 59 × 9803 and its 8 divisors sum to 2,352,960.

Prime Factor Structure

Factorization String 3 × 59 × 9803
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,352,960
Proper Divisor Sum 617,829
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1735121 ← → #1735159

Radix Representation

Decimal 1735131
Binary 110100111100111011011 (21 bits)
Octal 0o6474733
Hexadecimal 0x1A79DB

Divisor Catalog (8)

1 3 59 177 9,803 29,409 578,377 1,735,131

Collatz Trajectory (132 steps to reach 1)

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

1,735,131 5,205,394 2,602,697 7,808,092 3,904,046 1,952,023 5,856,070 2,928,035 8,784,106 4,392,053 13,176,160 6,588,080 3,294,040 1,647,020 823,510 411,755 1,235,266 617,633 1,852,900 926,450 463,225 1,389,676 694,838 347,419 1,042,258 521,129 1,563,388 781,694 390,847 1,172,542 586,271 1,758,814 879,407 2,638,222 1,319,111 3,957,334 1,978,667 5,936,002 2,968,001 8,904,004 4,452,002 2,226,001 6,678,004 3,339,002 1,669,501 5,008,504 2,504,252 1,252,126 626,063 1,878,190 939,095 2,817,286 1,408,643 4,225,930 2,112,965 6,338,896 3,169,448 1,584,724 792,362 396,181

More profiles

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