3,724,973

7 × 41 × 12979

3,724,973 factors as 7 × 41 × 12979. Its 8 positive divisors give a proper-divisor sum of 636,307, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 7 × 41 × 12979

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,361,280

Proper Divisor Sum 636,307

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3724967 ← → #3724979

Radix Representation

Decimal	3724973
Binary	1110001101011010101101 (22 bits)
Octal	0o16153255
Hexadecimal	0x38D6AD

Divisor Catalog (8)

1 7 41 287 12,979 90,853 532,139 3,724,973

Collatz Trajectory (172 steps to reach 1)

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

3,724,973 11,174,920 5,587,460 2,793,730 1,396,865 4,190,596 2,095,298 1,047,649 3,142,948 1,571,474 785,737 2,357,212 1,178,606 589,303 1,767,910 883,955 2,651,866 1,325,933 3,977,800 1,988,900 994,450 497,225 1,491,676 745,838 372,919 1,118,758 559,379 1,678,138 839,069 2,517,208 1,258,604 629,302 314,651 943,954 471,977 1,415,932 707,966 353,983 1,061,950 530,975 1,592,926 796,463 2,389,390 1,194,695 3,584,086 1,792,043 5,376,130 2,688,065 8,064,196 4,032,098 2,016,049 6,048,148 3,024,074 1,512,037 4,536,112 2,268,056 1,134,028 567,014 283,507 850,522

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