λ
Prime Ledger

7,697,402

2 × 53 × 72617
Deficient Even Composite

7,697,402 has the prime decomposition 2 × 53 × 72617. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 53 × 72617
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,764,116
Proper Divisor Sum 4,066,714
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7697401 ← → #7697453

Radix Representation

Decimal 7697402
Binary 11101010111001111111010 (23 bits)
Octal 0o35271772
Hexadecimal 0x7573FA

Divisor Catalog (8)

1 2 53 106 72,617 145,234 3,848,701 7,697,402

Collatz Trajectory (124 steps to reach 1)

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

7,697,402 3,848,701 11,546,104 5,773,052 2,886,526 1,443,263 4,329,790 2,164,895 6,494,686 3,247,343 9,742,030 4,871,015 14,613,046 7,306,523 21,919,570 10,959,785 32,879,356 16,439,678 8,219,839 24,659,518 12,329,759 36,989,278 18,494,639 55,483,918 27,741,959 83,225,878 41,612,939 124,838,818 62,419,409 187,258,228 93,629,114 46,814,557 140,443,672 70,221,836 35,110,918 17,555,459 52,666,378 26,333,189 78,999,568 39,499,784 19,749,892 9,874,946 4,937,473 14,812,420 7,406,210 3,703,105 11,109,316 5,554,658 2,777,329 8,331,988 4,165,994 2,082,997 6,248,992 3,124,496 1,562,248 781,124 390,562 195,281 585,844 292,922

More profiles

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