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Atlas › Integer Profiles › Node 9,723,010

9,723,010

2 × 5 × 11 × 157 × 563
Deficient Even Composite

9,723,010 factors as 2 × 5 × 11 × 157 × 563. Its 32 positive divisors give a proper-divisor sum of 9,525,182, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 157 × 563
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,248,192
Proper Divisor Sum 9,525,182
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #9723001 ← → #9723011

Radix Representation

Decimal 9723010
Binary 100101000101110010000010 (24 bits)
Octal 0o45056202
Hexadecimal 0x945C82

Divisor Catalog (32)

1 2 5 10 11 22 55 110 157 314 563 785 1,126 1,570 1,727 2,815 3,454 5,630 6,193 8,635 12,386 17,270 30,965 61,930 88,391 176,782 441,955 883,910 972,301 1,944,602 4,861,505 9,723,010

Collatz Trajectory (225 steps to reach 1)

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

9,723,010 4,861,505 14,584,516 7,292,258 3,646,129 10,938,388 5,469,194 2,734,597 8,203,792 4,101,896 2,050,948 1,025,474 512,737 1,538,212 769,106 384,553 1,153,660 576,830 288,415 865,246 432,623 1,297,870 648,935 1,946,806 973,403 2,920,210 1,460,105 4,380,316 2,190,158 1,095,079 3,285,238 1,642,619 4,927,858 2,463,929 7,391,788 3,695,894 1,847,947 5,543,842 2,771,921 8,315,764 4,157,882 2,078,941 6,236,824 3,118,412 1,559,206 779,603 2,338,810 1,169,405 3,508,216 1,754,108 877,054 438,527 1,315,582 657,791 1,973,374 986,687 2,960,062 1,480,031 4,440,094 2,220,047

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