3,970,968

2³ × 3 × 165457

3,970,968 factors as 2^3 × 3 × 165457. Its 16 positive divisors give a proper-divisor sum of 5,956,512, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 165457

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,927,480

Proper Divisor Sum 5,956,512

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3970949 ← → #3970991

Radix Representation

Decimal	3970968
Binary	1111001001011110011000 (22 bits)
Octal	0o17113630
Hexadecimal	0x3C9798

Divisor Catalog (16)

1 2 3 4 6 8 12 24 165,457 330,914 496,371 661,828 992,742 1,323,656 1,985,484 3,970,968

Collatz Trajectory (123 steps to reach 1)

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

3,970,968 1,985,484 992,742 496,371 1,489,114 744,557 2,233,672 1,116,836 558,418 279,209 837,628 418,814 209,407 628,222 314,111 942,334 471,167 1,413,502 706,751 2,120,254 1,060,127 3,180,382 1,590,191 4,770,574 2,385,287 7,155,862 3,577,931 10,733,794 5,366,897 16,100,692 8,050,346 4,025,173 12,075,520 6,037,760 3,018,880 1,509,440 754,720 377,360 188,680 94,340 47,170 23,585 70,756 35,378 17,689 53,068 26,534 13,267 39,802 19,901 59,704 29,852 14,926 7,463 22,390 11,195 33,586 16,793 50,380 25,190

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