λ
Integer Codex

4,012,152

23 × 3 × 167173
Abundant Even Composite

For 4,012,152, the 16 positive divisors have a total of 10,030,440. Removing 4,012,152 leaves 6,018,288, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 167173
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,030,440
Proper Divisor Sum 6,018,288
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #4012147 ← → #4012157

Radix Representation

Decimal 4012152
Binary 1111010011100001111000 (22 bits)
Octal 0o17234170
Hexadecimal 0x3D3878

Divisor Catalog (16)

1 2 3 4 6 8 12 24 167,173 334,346 501,519 668,692 1,003,038 1,337,384 2,006,076 4,012,152

Collatz Trajectory (66 steps to reach 1)

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

4,012,152 2,006,076 1,003,038 501,519 1,504,558 752,279 2,256,838 1,128,419 3,385,258 1,692,629 5,077,888 2,538,944 1,269,472 634,736 317,368 158,684 79,342 39,671 119,014 59,507 178,522 89,261 267,784 133,892 66,946 33,473 100,420 50,210 25,105 75,316 37,658 18,829 56,488 28,244 14,122 7,061 21,184 10,592 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20

More profiles

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