λ
Integer Codex

7,152,627

3 × 439 × 5431
Deficient Odd Composite

For 7,152,627, the 8 positive divisors have a total of 9,560,320. Removing 7,152,627 leaves 2,407,693, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 439 × 5431
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,560,320
Proper Divisor Sum 2,407,693
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7152623 ← → #7152641

Radix Representation

Decimal 7152627
Binary 11011010010001111110011 (23 bits)
Octal 0o33221763
Hexadecimal 0x6D23F3

Divisor Catalog (8)

1 3 439 1,317 5,431 16,293 2,384,209 7,152,627

Collatz Trajectory (178 steps to reach 1)

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

7,152,627 21,457,882 10,728,941 32,186,824 16,093,412 8,046,706 4,023,353 12,070,060 6,035,030 3,017,515 9,052,546 4,526,273 13,578,820 6,789,410 3,394,705 10,184,116 5,092,058 2,546,029 7,638,088 3,819,044 1,909,522 954,761 2,864,284 1,432,142 716,071 2,148,214 1,074,107 3,222,322 1,611,161 4,833,484 2,416,742 1,208,371 3,625,114 1,812,557 5,437,672 2,718,836 1,359,418 679,709 2,039,128 1,019,564 509,782 254,891 764,674 382,337 1,147,012 573,506 286,753 860,260 430,130 215,065 645,196 322,598 161,299 483,898 241,949 725,848 362,924 181,462 90,731 272,194

More profiles

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