λ
Harmonic Matrix

5,375,952

24 × 32 × 37 × 1009
Abundant Even Composite

5,375,952 has digital root 9. The neighboring primes are 5375947 and 5375957; its proper-divisor sum differs from the starting integer by 4,715,236.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 37 × 1009
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 15,467,140
Proper Divisor Sum 10,091,188
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5375947 ← → #5375957

Radix Representation

Decimal 5375952
Binary 10100100000011111010000 (23 bits)
Octal 0o24403720
Hexadecimal 0x5207D0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1,009 1,332 1,776 2,018 2,664 3,027 4,036 5,328 6,054 8,072 9,081 12,108 16,144 18,162 24,216 36,324 37,333 48,432 72,648 74,666 111,999 145,296 149,332 223,998 298,664 335,997 447,996 597,328 671,994 895,992 1,343,988 1,791,984 2,687,976 5,375,952

Collatz Trajectory (95 steps to reach 1)

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

5,375,952 2,687,976 1,343,988 671,994 335,997 1,007,992 503,996 251,998 125,999 377,998 188,999 566,998 283,499 850,498 425,249 1,275,748 637,874 318,937 956,812 478,406 239,203 717,610 358,805 1,076,416 538,208 269,104 134,552 67,276 33,638 16,819 50,458 25,229 75,688 37,844 18,922 9,461 28,384 14,192 7,096 3,548 1,774 887 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952

More profiles

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