λ
Harmonic Matrix

9,987,629

29 × 479 × 719
Deficient Odd Composite

9,987,629 has digital root 5. The neighboring primes are 9987617 and 9987643; its proper-divisor sum differs from the starting integer by -9,607,258.

Prime Factor Structure

Factorization String 29 × 479 × 719
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,368,000
Proper Divisor Sum 380,371
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #9987617 ← → #9987643

Radix Representation

Decimal 9987629
Binary 100110000110011000101101 (24 bits)
Octal 0o46063055
Hexadecimal 0x98662D

Divisor Catalog (8)

1 29 479 719 13,891 20,851 344,401 9,987,629

Collatz Trajectory (282 steps to reach 1)

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

9,987,629 29,962,888 14,981,444 7,490,722 3,745,361 11,236,084 5,618,042 2,809,021 8,427,064 4,213,532 2,106,766 1,053,383 3,160,150 1,580,075 4,740,226 2,370,113 7,110,340 3,555,170 1,777,585 5,332,756 2,666,378 1,333,189 3,999,568 1,999,784 999,892 499,946 249,973 749,920 374,960 187,480 93,740 46,870 23,435 70,306 35,153 105,460 52,730 26,365 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420 126,710 63,355

More profiles

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