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4,615,404

22 × 3 × 19 × 31 × 653
Abundant Even Composite

4,615,404 factors as 2^2 × 3 × 19 × 31 × 653. Its 48 positive divisors give a proper-divisor sum of 7,104,276, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 31 × 653
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,719,680
Proper Divisor Sum 7,104,276
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4615367 ← → #4615409

Radix Representation

Decimal 4615404
Binary 10001100110110011101100 (23 bits)
Octal 0o21466354
Hexadecimal 0x466CEC

Divisor Catalog (48)

1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 653 1,178 1,306 1,767 1,959 2,356 2,612 3,534 3,918 7,068 7,836 12,407 20,243 24,814 37,221 40,486 49,628 60,729 74,442 80,972 121,458 148,884 242,916 384,617 769,234 1,153,851 1,538,468 2,307,702 4,615,404

Collatz Trajectory (100 steps to reach 1)

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

4,615,404 2,307,702 1,153,851 3,461,554 1,730,777 5,192,332 2,596,166 1,298,083 3,894,250 1,947,125 5,841,376 2,920,688 1,460,344 730,172 365,086 182,543 547,630 273,815 821,446 410,723 1,232,170 616,085 1,848,256 924,128 462,064 231,032 115,516 57,758 28,879 86,638 43,319 129,958 64,979 194,938 97,469 292,408 146,204 73,102 36,551 109,654 54,827 164,482 82,241 246,724 123,362 61,681 185,044 92,522 46,261 138,784 69,392 34,696 17,348 8,674 4,337 13,012 6,506 3,253 9,760 4,880

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