λ
Sequence Observatory

7,412,953

7412953
Deficient Odd Prime

Starting at 7,412,953, the Collatz iteration reaches 1 after 111 steps. The first transition is 22238860; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7412953
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,412,954
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7412941 ← → #7412957

Radix Representation

Decimal 7412953
Binary 11100010001110011011001 (23 bits)
Octal 0o34216331
Hexadecimal 0x711CD9

Divisor Catalog (2)

1 7,412,953

Collatz Trajectory (111 steps to reach 1)

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

7,412,953 22,238,860 11,119,430 5,559,715 16,679,146 8,339,573 25,018,720 12,509,360 6,254,680 3,127,340 1,563,670 781,835 2,345,506 1,172,753 3,518,260 1,759,130 879,565 2,638,696 1,319,348 659,674 329,837 989,512 494,756 247,378 123,689 371,068 185,534 92,767 278,302 139,151 417,454 208,727 626,182 313,091 939,274 469,637 1,408,912 704,456 352,228 176,114 88,057 264,172 132,086 66,043 198,130 99,065 297,196 148,598 74,299 222,898 111,449 334,348 167,174 83,587 250,762 125,381 376,144 188,072 94,036 47,018

More profiles

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