λ
Harmonic Matrix

7,070,632

23 × 61 × 14489
Deficient Even Composite

7,070,632 has digital root 7. The neighboring primes are 7070627 and 7070639; its proper-divisor sum differs from the starting integer by -665,564.

Prime Factor Structure

Factorization String 2^3 × 61 × 14489
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,475,700
Proper Divisor Sum 6,405,068
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7070627 ← → #7070639

Radix Representation

Decimal 7070632
Binary 11010111110001110101000 (23 bits)
Octal 0o32761650
Hexadecimal 0x6BE3A8

Divisor Catalog (16)

1 2 4 8 61 122 244 488 14,489 28,978 57,956 115,912 883,829 1,767,658 3,535,316 7,070,632

Collatz Trajectory (129 steps to reach 1)

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

7,070,632 3,535,316 1,767,658 883,829 2,651,488 1,325,744 662,872 331,436 165,718 82,859 248,578 124,289 372,868 186,434 93,217 279,652 139,826 69,913 209,740 104,870 52,435 157,306 78,653 235,960 117,980 58,990 29,495 88,486 44,243 132,730 66,365 199,096 99,548 49,774 24,887 74,662 37,331 111,994 55,997 167,992 83,996 41,998 20,999 62,998 31,499 94,498 47,249 141,748 70,874 35,437 106,312 53,156 26,578 13,289 39,868 19,934 9,967 29,902 14,951 44,854

More profiles

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