λ
Harmonic Matrix

2,975,504

24 × 7 × 31 × 857
Abundant Even Composite

2,975,504 has digital root 5. The neighboring primes are 2975501 and 2975507; its proper-divisor sum differs from the starting integer by 858,080.

Prime Factor Structure

Factorization String 2^4 × 7 × 31 × 857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,809,088
Proper Divisor Sum 3,833,584
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2975501 ← → #2975507

Radix Representation

Decimal 2975504
Binary 1011010110011100010000 (22 bits)
Octal 0o13263420
Hexadecimal 0x2D6710

Divisor Catalog (40)

1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 857 868 1,714 1,736 3,428 3,472 5,999 6,856 11,998 13,712 23,996 26,567 47,992 53,134 95,984 106,268 185,969 212,536 371,938 425,072 743,876 1,487,752 2,975,504

Collatz Trajectory (58 steps to reach 1)

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

2,975,504 1,487,752 743,876 371,938 185,969 557,908 278,954 139,477 418,432 209,216 104,608 52,304 26,152 13,076 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

← Previous Integer #2,975,503 Browse Full Index Next Integer #2,975,505 →