42,007,261

509 × 82529

Prime Factor Structure

Factorization String 509 × 82529

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 42,090,300

Proper Divisor Sum 83,039

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #42007243 ← → #42007267

Radix Representation

Decimal	42007261
Binary	10100000001111101011011101 (26 bits)
Octal	0o240175335
Hexadecimal	0x280FADD

Divisor Catalog (4)

1 509 82,529 42,007,261

Collatz Trajectory (315 steps to reach 1)

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

42,007,261 126,021,784 63,010,892 31,505,446 15,752,723 47,258,170 23,629,085 70,887,256 35,443,628 17,721,814 8,860,907 26,582,722 13,291,361 39,874,084 19,937,042 9,968,521 29,905,564 14,952,782 7,476,391 22,429,174 11,214,587 33,643,762 16,821,881 50,465,644 25,232,822 12,616,411 37,849,234 18,924,617 56,773,852 28,386,926 14,193,463 42,580,390 21,290,195 63,870,586 31,935,293 95,805,880 47,902,940 23,951,470 11,975,735 35,927,206 17,963,603 53,890,810 26,945,405 80,836,216 40,418,108 20,209,054 10,104,527 30,313,582 15,156,791 45,470,374 22,735,187 68,205,562 34,102,781 102,308,344 51,154,172 25,577,086 12,788,543 38,365,630 19,182,815 57,548,446

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