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Atlas › Integer Profiles › Node 4,367,295

4,367,295

32 × 5 × 37 × 43 × 61
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 37 × 43 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,085,792
Proper Divisor Sum 3,718,497
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4367267 ← → #4367299

Radix Representation

Decimal 4367295
Binary 10000101010001110111111 (23 bits)
Octal 0o20521677
Hexadecimal 0x42A3BF

Divisor Catalog (48)

1 3 5 9 15 37 43 45 61 111 129 183 185 215 305 333 387 549 555 645 915 1,591 1,665 1,935 2,257 2,623 2,745 4,773 6,771 7,869 7,955 11,285 13,115 14,319 20,313 23,607 23,865 33,855 39,345 71,595 97,051 101,565 118,035 291,153 485,255 873,459 1,455,765 4,367,295

Collatz Trajectory (149 steps to reach 1)

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

4,367,295 13,101,886 6,550,943 19,652,830 9,826,415 29,479,246 14,739,623 44,218,870 22,109,435 66,328,306 33,164,153 99,492,460 49,746,230 24,873,115 74,619,346 37,309,673 111,929,020 55,964,510 27,982,255 83,946,766 41,973,383 125,920,150 62,960,075 188,880,226 94,440,113 283,320,340 141,660,170 70,830,085 212,490,256 106,245,128 53,122,564 26,561,282 13,280,641 39,841,924 19,920,962 9,960,481 29,881,444 14,940,722 7,470,361 22,411,084 11,205,542 5,602,771 16,808,314 8,404,157 25,212,472 12,606,236 6,303,118 3,151,559 9,454,678 4,727,339 14,182,018 7,091,009 21,273,028 10,636,514 5,318,257 15,954,772 7,977,386 3,988,693 11,966,080 5,983,040

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