3,517,420

2² × 5 × 397 × 443

3,517,420 factors as 2^2 × 5 × 397 × 443. Its 24 positive divisors give a proper-divisor sum of 3,904,484, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 397 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,421,904

Proper Divisor Sum 3,904,484

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3517417 ← → #3517421

Radix Representation

Decimal	3517420
Binary	1101011010101111101100 (22 bits)
Octal	0o15325754
Hexadecimal	0x35ABEC

Divisor Catalog (24)

Collatz Trajectory (102 steps to reach 1)

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

3,517,420 1,758,710 879,355 2,638,066 1,319,033 3,957,100 1,978,550 989,275 2,967,826 1,483,913 4,451,740 2,225,870 1,112,935 3,338,806 1,669,403 5,008,210 2,504,105 7,512,316 3,756,158 1,878,079 5,634,238 2,817,119 8,451,358 4,225,679 12,677,038 6,338,519 19,015,558 9,507,779 28,523,338 14,261,669 42,785,008 21,392,504 10,696,252 5,348,126 2,674,063 8,022,190 4,011,095 12,033,286 6,016,643 18,049,930 9,024,965 27,074,896 13,537,448 6,768,724 3,384,362 1,692,181 5,076,544 2,538,272 1,269,136 634,568 317,284 158,642 79,321 237,964 118,982 59,491 178,474 89,237 267,712 133,856

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