λ
Integer Codex

9,567,617

17 × 59 × 9539
Deficient Odd Composite

For 9,567,617, the 8 positive divisors have a total of 10,303,200. Removing 9,567,617 leaves 735,583, which gives the deficient classification.

Prime Factor Structure

Factorization String 17 × 59 × 9539
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,303,200
Proper Divisor Sum 735,583
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9567587 ← → #9567631

Radix Representation

Decimal 9567617
Binary 100100011111110110000001 (24 bits)
Octal 0o44376601
Hexadecimal 0x91FD81

Divisor Catalog (8)

1 17 59 1,003 9,539 162,163 562,801 9,567,617

Collatz Trajectory (132 steps to reach 1)

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

9,567,617 28,702,852 14,351,426 7,175,713 21,527,140 10,763,570 5,381,785 16,145,356 8,072,678 4,036,339 12,109,018 6,054,509 18,163,528 9,081,764 4,540,882 2,270,441 6,811,324 3,405,662 1,702,831 5,108,494 2,554,247 7,662,742 3,831,371 11,494,114 5,747,057 17,241,172 8,620,586 4,310,293 12,930,880 6,465,440 3,232,720 1,616,360 808,180 404,090 202,045 606,136 303,068 151,534 75,767 227,302 113,651 340,954 170,477 511,432 255,716 127,858 63,929 191,788 95,894 47,947 143,842 71,921 215,764 107,882 53,941 161,824 80,912 40,456 20,228 10,114

More profiles

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