λ
Integer Codex

9,828,590

2 × 5 × 23 × 151 × 283
Deficient Even Composite

For 9,828,590, the 32 positive divisors have a total of 18,648,576. Removing 9,828,590 leaves 8,819,986, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 151 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,648,576
Proper Divisor Sum 8,819,986
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9828583 ← → #9828617

Radix Representation

Decimal 9828590
Binary 100101011111100011101110 (24 bits)
Octal 0o45374356
Hexadecimal 0x95F8EE

Divisor Catalog (32)

1 2 5 10 23 46 115 151 230 283 302 566 755 1,415 1,510 2,830 3,473 6,509 6,946 13,018 17,365 32,545 34,730 42,733 65,090 85,466 213,665 427,330 982,859 1,965,718 4,914,295 9,828,590

Collatz Trajectory (207 steps to reach 1)

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

9,828,590 4,914,295 14,742,886 7,371,443 22,114,330 11,057,165 33,171,496 16,585,748 8,292,874 4,146,437 12,439,312 6,219,656 3,109,828 1,554,914 777,457 2,332,372 1,166,186 583,093 1,749,280 874,640 437,320 218,660 109,330 54,665 163,996 81,998 40,999 122,998 61,499 184,498 92,249 276,748 138,374 69,187 207,562 103,781 311,344 155,672 77,836 38,918 19,459 58,378 29,189 87,568 43,784 21,892 10,946 5,473 16,420 8,210 4,105 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394

More profiles

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