λ
Integer Codex

220,607

167 × 1321
Deficient Odd Composite

For 220,607, the 4 positive divisors have a total of 222,096. Removing 220,607 leaves 1,489, which gives the deficient classification.

Prime Factor Structure

Factorization String 167 × 1321
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 222,096
Proper Divisor Sum 1,489
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #220589 ← → #220613

Radix Representation

Decimal 220607
Binary 110101110110111111 (18 bits)
Octal 0o656677
Hexadecimal 0x35DBF

Divisor Catalog (4)

1 167 1,321 220,607

Collatz Trajectory (124 steps to reach 1)

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

220,607 661,822 330,911 992,734 496,367 1,489,102 744,551 2,233,654 1,116,827 3,350,482 1,675,241 5,025,724 2,512,862 1,256,431 3,769,294 1,884,647 5,653,942 2,826,971 8,480,914 4,240,457 12,721,372 6,360,686 3,180,343 9,541,030 4,770,515 14,311,546 7,155,773 21,467,320 10,733,660 5,366,830 2,683,415 8,050,246 4,025,123 12,075,370 6,037,685 18,113,056 9,056,528 4,528,264 2,264,132 1,132,066 566,033 1,698,100 849,050 424,525 1,273,576 636,788 318,394 159,197 477,592 238,796 119,398 59,699 179,098 89,549 268,648 134,324 67,162 33,581 100,744 50,372

More profiles

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