λ
Harmonic Matrix

9,724,639

277 × 35107
Deficient Odd Composite

9,724,639 has digital root 4. The neighboring primes are 9724633 and 9724643; its proper-divisor sum differs from the starting integer by -9,689,254.

Prime Factor Structure

Factorization String 277 × 35107
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,760,024
Proper Divisor Sum 35,385
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9724633 ← → #9724643

Radix Representation

Decimal 9724639
Binary 100101000110001011011111 (24 bits)
Octal 0o45061337
Hexadecimal 0x9462DF

Divisor Catalog (4)

1 277 35,107 9,724,639

Collatz Trajectory (114 steps to reach 1)

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

9,724,639 29,173,918 14,586,959 43,760,878 21,880,439 65,641,318 32,820,659 98,461,978 49,230,989 147,692,968 73,846,484 36,923,242 18,461,621 55,384,864 27,692,432 13,846,216 6,923,108 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

More profiles

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