λ
Harmonic Matrix

9,348,616

23 × 61 × 19157
Deficient Even Composite

9,348,616 has digital root 1. The neighboring primes are 9348613 and 9348637; its proper-divisor sum differs from the starting integer by -880,292.

Prime Factor Structure

Factorization String 2^3 × 61 × 19157
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,816,940
Proper Divisor Sum 8,468,324
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9348613 ← → #9348637

Radix Representation

Decimal 9348616
Binary 100011101010011000001000 (24 bits)
Octal 0o43523010
Hexadecimal 0x8EA608

Divisor Catalog (16)

1 2 4 8 61 122 244 488 19,157 38,314 76,628 153,256 1,168,577 2,337,154 4,674,308 9,348,616

Collatz Trajectory (181 steps to reach 1)

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

9,348,616 4,674,308 2,337,154 1,168,577 3,505,732 1,752,866 876,433 2,629,300 1,314,650 657,325 1,971,976 985,988 492,994 246,497 739,492 369,746 184,873 554,620 277,310 138,655 415,966 207,983 623,950 311,975 935,926 467,963 1,403,890 701,945 2,105,836 1,052,918 526,459 1,579,378 789,689 2,369,068 1,184,534 592,267 1,776,802 888,401 2,665,204 1,332,602 666,301 1,998,904 999,452 499,726 249,863 749,590 374,795 1,124,386 562,193 1,686,580 843,290 421,645 1,264,936 632,468 316,234 158,117 474,352 237,176 118,588 59,294

More profiles

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