λ
Integer Codex

7,621,437

3 × 2540479
Deficient Odd Composite

For 7,621,437, the 4 positive divisors have a total of 10,161,920. Removing 7,621,437 leaves 2,540,483, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 2540479
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,161,920
Proper Divisor Sum 2,540,483
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7621433 ← → #7621463

Radix Representation

Decimal 7621437
Binary 11101000100101100111101 (23 bits)
Octal 0o35045475
Hexadecimal 0x744B3D

Divisor Catalog (4)

1 3 2,540,479 7,621,437

Collatz Trajectory (186 steps to reach 1)

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

7,621,437 22,864,312 11,432,156 5,716,078 2,858,039 8,574,118 4,287,059 12,861,178 6,430,589 19,291,768 9,645,884 4,822,942 2,411,471 7,234,414 3,617,207 10,851,622 5,425,811 16,277,434 8,138,717 24,416,152 12,208,076 6,104,038 3,052,019 9,156,058 4,578,029 13,734,088 6,867,044 3,433,522 1,716,761 5,150,284 2,575,142 1,287,571 3,862,714 1,931,357 5,794,072 2,897,036 1,448,518 724,259 2,172,778 1,086,389 3,259,168 1,629,584 814,792 407,396 203,698 101,849 305,548 152,774 76,387 229,162 114,581 343,744 171,872 85,936 42,968 21,484 10,742 5,371 16,114 8,057

More profiles

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