3,388,751

23 × 251 × 587

3,388,751 has digital root 8. The neighboring primes are 3388727 and 3388753; its proper-divisor sum differs from the starting integer by -3,221,278.

Prime Factor Structure

Factorization String 23 × 251 × 587

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,556,224

Proper Divisor Sum 167,473

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3388727 ← → #3388753

Radix Representation

Decimal	3388751
Binary	1100111011010101001111 (22 bits)
Octal	0o14732517
Hexadecimal	0x33B54F

Divisor Catalog (8)

1 23 251 587 5,773 13,501 147,337 3,388,751

Collatz Trajectory (115 steps to reach 1)

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

3,388,751 10,166,254 5,083,127 15,249,382 7,624,691 22,874,074 11,437,037 34,311,112 17,155,556 8,577,778 4,288,889 12,866,668 6,433,334 3,216,667 9,650,002 4,825,001 14,475,004 7,237,502 3,618,751 10,856,254 5,428,127 16,284,382 8,142,191 24,426,574 12,213,287 36,639,862 18,319,931 54,959,794 27,479,897 82,439,692 41,219,846 20,609,923 61,829,770 30,914,885 92,744,656 46,372,328 23,186,164 11,593,082 5,796,541 17,389,624 8,694,812 4,347,406 2,173,703 6,521,110 3,260,555 9,781,666 4,890,833 14,672,500 7,336,250 3,668,125 11,004,376 5,502,188 2,751,094 1,375,547 4,126,642 2,063,321 6,189,964 3,094,982 1,547,491 4,642,474

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