λ
Integer Codex

7,614,123

3 × 11 × 179 × 1289
Deficient Odd Composite

For 7,614,123, the 16 positive divisors have a total of 11,145,600. Removing 7,614,123 leaves 3,531,477, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 11 × 179 × 1289
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,145,600
Proper Divisor Sum 3,531,477
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7614121 ← → #7614137

Radix Representation

Decimal 7614123
Binary 11101000010111010101011 (23 bits)
Octal 0o35027253
Hexadecimal 0x742EAB

Divisor Catalog (16)

1 3 11 33 179 537 1,289 1,969 3,867 5,907 14,179 42,537 230,731 692,193 2,538,041 7,614,123

Collatz Trajectory (103 steps to reach 1)

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

7,614,123 22,842,370 11,421,185 34,263,556 17,131,778 8,565,889 25,697,668 12,848,834 6,424,417 19,273,252 9,636,626 4,818,313 14,454,940 7,227,470 3,613,735 10,841,206 5,420,603 16,261,810 8,130,905 24,392,716 12,196,358 6,098,179 18,294,538 9,147,269 27,441,808 13,720,904 6,860,452 3,430,226 1,715,113 5,145,340 2,572,670 1,286,335 3,859,006 1,929,503 5,788,510 2,894,255 8,682,766 4,341,383 13,024,150 6,512,075 19,536,226 9,768,113 29,304,340 14,652,170 7,326,085 21,978,256 10,989,128 5,494,564 2,747,282 1,373,641 4,120,924 2,060,462 1,030,231 3,090,694 1,545,347 4,636,042 2,318,021 6,954,064 3,477,032 1,738,516

More profiles

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