3,837,412

2² × 23 × 53 × 787

For 3,837,412, the 24 positive divisors have a total of 7,148,736. Removing 3,837,412 leaves 3,311,324, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 23 × 53 × 787

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,148,736

Proper Divisor Sum 3,311,324

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3837403 ← → #3837437

Radix Representation

Decimal	3837412
Binary	1110101000110111100100 (22 bits)
Octal	0o16506744
Hexadecimal	0x3A8DE4

Divisor Catalog (24)

1 2 4 23 46 53 92 106 212 787 1,219 1,574 2,438 3,148 4,876 18,101 36,202 41,711 72,404 83,422 166,844 959,353 1,918,706 3,837,412

Collatz Trajectory (172 steps to reach 1)

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

3,837,412 1,918,706 959,353 2,878,060 1,439,030 719,515 2,158,546 1,079,273 3,237,820 1,618,910 809,455 2,428,366 1,214,183 3,642,550 1,821,275 5,463,826 2,731,913 8,195,740 4,097,870 2,048,935 6,146,806 3,073,403 9,220,210 4,610,105 13,830,316 6,915,158 3,457,579 10,372,738 5,186,369 15,559,108 7,779,554 3,889,777 11,669,332 5,834,666 2,917,333 8,752,000 4,376,000 2,188,000 1,094,000 547,000 273,500 136,750 68,375 205,126 102,563 307,690 153,845 461,536 230,768 115,384 57,692 28,846 14,423 43,270 21,635 64,906 32,453 97,360 48,680 24,340

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