λ
Harmonic Matrix

1,203,616

25 × 29 × 1297
Abundant Even Composite

1,203,616 has digital root 1. The neighboring primes are 1203611 and 1203619; its proper-divisor sum differs from the starting integer by 45,988.

Prime Factor Structure

Factorization String 2^5 × 29 × 1297
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,453,220
Proper Divisor Sum 1,249,604
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1203611 ← → #1203619

Radix Representation

Decimal 1203616
Binary 100100101110110100000 (21 bits)
Octal 0o4456640
Hexadecimal 0x125DA0

Divisor Catalog (24)

1 2 4 8 16 29 32 58 116 232 464 928 1,297 2,594 5,188 10,376 20,752 37,613 41,504 75,226 150,452 300,904 601,808 1,203,616

Collatz Trajectory (67 steps to reach 1)

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

1,203,616 601,808 300,904 150,452 75,226 37,613 112,840 56,420 28,210 14,105 42,316 21,158 10,579 31,738 15,869 47,608 23,804 11,902 5,951 17,854 8,927 26,782 13,391 40,174 20,087 60,262 30,131 90,394 45,197 135,592 67,796 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40

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