λ
Harmonic Matrix

3,400,671

3 × 151 × 7507
Deficient Odd Composite

3,400,671 has digital root 3. The neighboring primes are 3400637 and 3400673; its proper-divisor sum differs from the starting integer by -2,236,478.

Prime Factor Structure

Factorization String 3 × 151 × 7507
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,564,864
Proper Divisor Sum 1,164,193
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3400637 ← → #3400673

Radix Representation

Decimal 3400671
Binary 1100111110001111011111 (22 bits)
Octal 0o14761737
Hexadecimal 0x33E3DF

Divisor Catalog (8)

1 3 151 453 7,507 22,521 1,133,557 3,400,671

Collatz Trajectory (190 steps to reach 1)

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

3,400,671 10,202,014 5,101,007 15,303,022 7,651,511 22,954,534 11,477,267 34,431,802 17,215,901 51,647,704 25,823,852 12,911,926 6,455,963 19,367,890 9,683,945 29,051,836 14,525,918 7,262,959 21,788,878 10,894,439 32,683,318 16,341,659 49,024,978 24,512,489 73,537,468 36,768,734 18,384,367 55,153,102 27,576,551 82,729,654 41,364,827 124,094,482 62,047,241 186,141,724 93,070,862 46,535,431 139,606,294 69,803,147 209,409,442 104,704,721 314,114,164 157,057,082 78,528,541 235,585,624 117,792,812 58,896,406 29,448,203 88,344,610 44,172,305 132,516,916 66,258,458 33,129,229 99,387,688 49,693,844 24,846,922 12,423,461 37,270,384 18,635,192 9,317,596 4,658,798

More profiles

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