7,018,308

2² × 3² × 11 × 37 × 479

Starting at 7,018,308, the Collatz iteration reaches 1 after 178 steps. The first transition is 3509154; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 37 × 479

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 19,918,080

Proper Divisor Sum 12,899,772

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7018303 ← → #7018321

Radix Representation

Decimal	7018308
Binary	11010110001011101000100 (23 bits)
Octal	0o32613504
Hexadecimal	0x6B1744

Divisor Catalog (60 of 72)

1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 479 666 814 958 1,221 1,332 1,437 1,628 1,916 2,442 2,874 3,663 4,311 4,884 5,269 5,748 7,326 8,622 10,538 14,652 15,807 17,244 17,723 21,076 31,614 35,446 47,421 53,169 63,228 70,892 94,842 106,338 159,507 189,684

Collatz Trajectory (178 steps to reach 1)

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

7,018,308 3,509,154 1,754,577 5,263,732 2,631,866 1,315,933 3,947,800 1,973,900 986,950 493,475 1,480,426 740,213 2,220,640 1,110,320 555,160 277,580 138,790 69,395 208,186 104,093 312,280 156,140 78,070 39,035 117,106 58,553 175,660 87,830 43,915 131,746 65,873 197,620 98,810 49,405 148,216 74,108 37,054 18,527 55,582 27,791 83,374 41,687 125,062 62,531 187,594 93,797 281,392 140,696 70,348 35,174 17,587 52,762 26,381 79,144 39,572 19,786 9,893 29,680 14,840 7,420

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