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3,580,965

32 × 5 × 17 × 31 × 151
Deficient Odd Composite

3,580,965 factors as 3^2 × 5 × 17 × 31 × 151. Its 48 positive divisors give a proper-divisor sum of 3,248,091, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 17 × 31 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,829,056
Proper Divisor Sum 3,248,091
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3580963 ← → #3581003

Radix Representation

Decimal 3580965
Binary 1101101010010000100101 (22 bits)
Octal 0o15522045
Hexadecimal 0x36A425

Divisor Catalog (48)

1 3 5 9 15 17 31 45 51 85 93 151 153 155 255 279 453 465 527 755 765 1,359 1,395 1,581 2,265 2,567 2,635 4,681 4,743 6,795 7,701 7,905 12,835 14,043 23,103 23,405 23,715 38,505 42,129 70,215 79,577 115,515 210,645 238,731 397,885 716,193 1,193,655 3,580,965

Collatz Trajectory (97 steps to reach 1)

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

3,580,965 10,742,896 5,371,448 2,685,724 1,342,862 671,431 2,014,294 1,007,147 3,021,442 1,510,721 4,532,164 2,266,082 1,133,041 3,399,124 1,699,562 849,781 2,549,344 1,274,672 637,336 318,668 159,334 79,667 239,002 119,501 358,504 179,252 89,626 44,813 134,440 67,220 33,610 16,805 50,416 25,208 12,604 6,302 3,151 9,454 4,727 14,182 7,091 21,274 10,637 31,912 15,956 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634

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