26,642,619

3² × 29 × 102079

26,642,619 factors as 3^2 × 29 × 102079. Its 12 positive divisors give a proper-divisor sum of 13,168,581, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3^2 × 29 × 102079

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 39,811,200

Proper Divisor Sum 13,168,581

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #26642611 ← → #26642639

Radix Representation

Decimal	26642619
Binary	1100101101000100010111011 (25 bits)
Octal	0o145504273
Hexadecimal	0x19688BB

Divisor Catalog (12)

1 3 9 29 87 261 102,079 306,237 918,711 2,960,291 8,880,873 26,642,619

Collatz Trajectory (167 steps to reach 1)

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

26,642,619 79,927,858 39,963,929 119,891,788 59,945,894 29,972,947 89,918,842 44,959,421 134,878,264 67,439,132 33,719,566 16,859,783 50,579,350 25,289,675 75,869,026 37,934,513 113,803,540 56,901,770 28,450,885 85,352,656 42,676,328 21,338,164 10,669,082 5,334,541 16,003,624 8,001,812 4,000,906 2,000,453 6,001,360 3,000,680 1,500,340 750,170 375,085 1,125,256 562,628 281,314 140,657 421,972 210,986 105,493 316,480 158,240 79,120 39,560 19,780 9,890 4,945 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697

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