λ
Integer Codex

4,724,175

3 × 52 × 62989
Deficient Odd Composite

For 4,724,175, the 12 positive divisors have a total of 7,810,760. Removing 4,724,175 leaves 3,086,585, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5^2 × 62989
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,810,760
Proper Divisor Sum 3,086,585
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4724173 ← → #4724201

Radix Representation

Decimal 4724175
Binary 10010000001010111001111 (23 bits)
Octal 0o22012717
Hexadecimal 0x4815CF

Divisor Catalog (12)

1 3 5 15 25 75 62,989 188,967 314,945 944,835 1,574,725 4,724,175

Collatz Trajectory (100 steps to reach 1)

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

4,724,175 14,172,526 7,086,263 21,258,790 10,629,395 31,888,186 15,944,093 47,832,280 23,916,140 11,958,070 5,979,035 17,937,106 8,968,553 26,905,660 13,452,830 6,726,415 20,179,246 10,089,623 30,268,870 15,134,435 45,403,306 22,701,653 68,104,960 34,052,480 17,026,240 8,513,120 4,256,560 2,128,280 1,064,140 532,070 266,035 798,106 399,053 1,197,160 598,580 299,290 149,645 448,936 224,468 112,234 56,117 168,352 84,176 42,088 21,044 10,522 5,261 15,784 7,892 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139

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