λ
Integer Codex

7,208,492

22 × 31 × 61 × 953
Deficient Even Composite

For 7,208,492, the 24 positive divisors have a total of 13,249,152. Removing 7,208,492 leaves 6,040,660, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 31 × 61 × 953
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,249,152
Proper Divisor Sum 6,040,660
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7208491 ← → #7208507

Radix Representation

Decimal 7208492
Binary 11011011111111000101100 (23 bits)
Octal 0o33377054
Hexadecimal 0x6DFE2C

Divisor Catalog (24)

1 2 4 31 61 62 122 124 244 953 1,891 1,906 3,782 3,812 7,564 29,543 58,133 59,086 116,266 118,172 232,532 1,802,123 3,604,246 7,208,492

Collatz Trajectory (235 steps to reach 1)

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

7,208,492 3,604,246 1,802,123 5,406,370 2,703,185 8,109,556 4,054,778 2,027,389 6,082,168 3,041,084 1,520,542 760,271 2,280,814 1,140,407 3,421,222 1,710,611 5,131,834 2,565,917 7,697,752 3,848,876 1,924,438 962,219 2,886,658 1,443,329 4,329,988 2,164,994 1,082,497 3,247,492 1,623,746 811,873 2,435,620 1,217,810 608,905 1,826,716 913,358 456,679 1,370,038 685,019 2,055,058 1,027,529 3,082,588 1,541,294 770,647 2,311,942 1,155,971 3,467,914 1,733,957 5,201,872 2,600,936 1,300,468 650,234 325,117 975,352 487,676 243,838 121,919 365,758 182,879 548,638 274,319

More profiles

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