8,979,348

2² × 3 × 7² × 15271

8,979,348 factors as 2^2 × 3 × 7^2 × 15271. Its 36 positive divisors give a proper-divisor sum of 15,394,764, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 15271

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 24,374,112

Proper Divisor Sum 15,394,764

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #8979337 ← → #8979353

Radix Representation

Decimal	8979348
Binary	100010010000001110010100 (24 bits)
Octal	0o42201624
Hexadecimal	0x890394

Divisor Catalog (36)

Collatz Trajectory (225 steps to reach 1)

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

8,979,348 4,489,674 2,244,837 6,734,512 3,367,256 1,683,628 841,814 420,907 1,262,722 631,361 1,894,084 947,042 473,521 1,420,564 710,282 355,141 1,065,424 532,712 266,356 133,178 66,589 199,768 99,884 49,942 24,971 74,914 37,457 112,372 56,186 28,093 84,280 42,140 21,070 10,535 31,606 15,803 47,410 23,705 71,116 35,558 17,779 53,338 26,669 80,008 40,004 20,002 10,001 30,004 15,002 7,501 22,504 11,252 5,626 2,813 8,440 4,220 2,110 1,055 3,166 1,583

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