λ
Integer Codex

1,587,167

1587167
Deficient Odd Prime

For 1,587,167, the 2 positive divisors have a total of 1,587,168. Removing 1,587,167 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 1587167
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,587,168
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1587121 ← → #1587197

Radix Representation

Decimal 1587167
Binary 110000011011111011111 (21 bits)
Octal 0o6033737
Hexadecimal 0x1837DF

Divisor Catalog (2)

Collatz Trajectory (101 steps to reach 1)

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

1,587,167 4,761,502 2,380,751 7,142,254 3,571,127 10,713,382 5,356,691 16,070,074 8,035,037 24,105,112 12,052,556 6,026,278 3,013,139 9,039,418 4,519,709 13,559,128 6,779,564 3,389,782 1,694,891 5,084,674 2,542,337 7,627,012 3,813,506 1,906,753 5,720,260 2,860,130 1,430,065 4,290,196 2,145,098 1,072,549 3,217,648 1,608,824 804,412 402,206 201,103 603,310 301,655 904,966 452,483 1,357,450 678,725 2,036,176 1,018,088 509,044 254,522 127,261 381,784 190,892 95,446 47,723 143,170 71,585 214,756 107,378 53,689 161,068 80,534 40,267 120,802 60,401

More profiles

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