λ
Harmonic Matrix

624,109

29 × 21521
Deficient Odd Composite

624,109 has digital root 4. The neighboring primes are 624097 and 624119; its proper-divisor sum differs from the starting integer by -602,558.

Prime Factor Structure

Factorization String 29 × 21521
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 645,660
Proper Divisor Sum 21,551
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #624097 ← → #624119

Radix Representation

Decimal 624109
Binary 10011000010111101101 (20 bits)
Octal 0o2302755
Hexadecimal 0x985ED

Divisor Catalog (4)

1 29 21,521 624,109

Collatz Trajectory (278 steps to reach 1)

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

624,109 1,872,328 936,164 468,082 234,041 702,124 351,062 175,531 526,594 263,297 789,892 394,946 197,473 592,420 296,210 148,105 444,316 222,158 111,079 333,238 166,619 499,858 249,929 749,788 374,894 187,447 562,342 281,171 843,514 421,757 1,265,272 632,636 316,318 158,159 474,478 237,239 711,718 355,859 1,067,578 533,789 1,601,368 800,684 400,342 200,171 600,514 300,257 900,772 450,386 225,193 675,580 337,790 168,895 506,686 253,343 760,030 380,015 1,140,046 570,023 1,710,070 855,035

More profiles

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