λ
Integer Codex

5,398,632

23 × 32 × 97 × 773
Abundant Even Composite

For 5,398,632, the 48 positive divisors have a total of 14,791,140. Removing 5,398,632 leaves 9,392,508, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 97 × 773
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,791,140
Proper Divisor Sum 9,392,508
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5398597 ← → #5398697

Radix Representation

Decimal 5398632
Binary 10100100110000001101000 (23 bits)
Octal 0o24460150
Hexadecimal 0x526068

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 773 776 873 1,164 1,546 1,746 2,319 2,328 3,092 3,492 4,638 6,184 6,957 6,984 9,276 13,914 18,552 27,828 55,656 74,981 149,962 224,943 299,924 449,886 599,848 674,829 899,772 1,349,658 1,799,544 2,699,316 5,398,632

Collatz Trajectory (188 steps to reach 1)

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

5,398,632 2,699,316 1,349,658 674,829 2,024,488 1,012,244 506,122 253,061 759,184 379,592 189,796 94,898 47,449 142,348 71,174 35,587 106,762 53,381 160,144 80,072 40,036 20,018 10,009 30,028 15,014 7,507 22,522 11,261 33,784 16,892 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710

More profiles

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