λ
Harmonic Matrix

5,604,375

3 × 54 × 72 × 61
Deficient Odd Composite

5,604,375 has digital root 3. The neighboring primes are 5604367 and 5604451; its proper-divisor sum differs from the starting integer by -168,534.

Prime Factor Structure

Factorization String 3 × 5^4 × 7^2 × 61
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 11,040,216
Proper Divisor Sum 5,435,841
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5604367 ← → #5604451

Radix Representation

Decimal 5604375
Binary 10101011000010000010111 (23 bits)
Octal 0o25302027
Hexadecimal 0x558417

Divisor Catalog (60)

1 3 5 7 15 21 25 35 49 61 75 105 125 147 175 183 245 305 375 427 525 625 735 875 915 1,225 1,281 1,525 1,875 2,135 2,625 2,989 3,675 4,375 4,575 6,125 6,405 7,625 8,967 10,675 13,125 14,945 18,375 22,875 30,625 32,025 38,125 44,835 53,375 74,725 91,875 114,375 160,125 224,175 266,875 373,625 800,625 1,120,875 1,868,125 5,604,375

Collatz Trajectory (108 steps to reach 1)

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

5,604,375 16,813,126 8,406,563 25,219,690 12,609,845 37,829,536 18,914,768 9,457,384 4,728,692 2,364,346 1,182,173 3,546,520 1,773,260 886,630 443,315 1,329,946 664,973 1,994,920 997,460 498,730 249,365 748,096 374,048 187,024 93,512 46,756 23,378 11,689 35,068 17,534 8,767 26,302 13,151 39,454 19,727 59,182 29,591 88,774 44,387 133,162 66,581 199,744 99,872 49,936 24,968 12,484 6,242 3,121 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989

More profiles

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