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Atlas › Integer Profiles › Node 36,723,015

36,723,015

32 × 5 × 7 × 73 × 1597
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 73 × 1597
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 73,789,248
Proper Divisor Sum 37,066,233
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #36723013 ← → #36723023

Radix Representation

Decimal 36723015
Binary 10001100000101100101000111 (26 bits)
Octal 0o214054507
Hexadecimal 0x2305947

Divisor Catalog (48)

1 3 5 7 9 15 21 35 45 63 73 105 219 315 365 511 657 1,095 1,533 1,597 2,555 3,285 4,599 4,791 7,665 7,985 11,179 14,373 22,995 23,955 33,537 55,895 71,865 100,611 116,581 167,685 349,743 503,055 582,905 816,067 1,049,229 1,748,715 2,448,201 4,080,335 5,246,145 7,344,603 12,241,005 36,723,015

Collatz Trajectory (139 steps to reach 1)

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

36,723,015 110,169,046 55,084,523 165,253,570 82,626,785 247,880,356 123,940,178 61,970,089 185,910,268 92,955,134 46,477,567 139,432,702 69,716,351 209,149,054 104,574,527 313,723,582 156,861,791 470,585,374 235,292,687 705,878,062 352,939,031 1,058,817,094 529,408,547 1,588,225,642 794,112,821 2,382,338,464 1,191,169,232 595,584,616 297,792,308 148,896,154 74,448,077 223,344,232 111,672,116 55,836,058 27,918,029 83,754,088 41,877,044 20,938,522 10,469,261 31,407,784 15,703,892 7,851,946 3,925,973 11,777,920 5,888,960 2,944,480 1,472,240 736,120 368,060 184,030 92,015 276,046 138,023 414,070 207,035 621,106 310,553 931,660 465,830 232,915

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