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Atlas › Integer Profiles › Node 3,470,535

3,470,535

32 × 5 × 233 × 331
Deficient Odd Composite

3,470,535 factors as 3^2 × 5 × 233 × 331. Its 24 positive divisors give a proper-divisor sum of 2,589,129, so this integer is deficient. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 233 × 331
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,059,664
Proper Divisor Sum 2,589,129
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3470501 ← → #3470581

Radix Representation

Decimal 3470535
Binary 1101001111010011000111 (22 bits)
Octal 0o15172307
Hexadecimal 0x34F4C7

Divisor Catalog (24)

1 3 5 9 15 45 233 331 699 993 1,165 1,655 2,097 2,979 3,495 4,965 10,485 14,895 77,123 231,369 385,615 694,107 1,156,845 3,470,535

Collatz Trajectory (234 steps to reach 1)

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

3,470,535 10,411,606 5,205,803 15,617,410 7,808,705 23,426,116 11,713,058 5,856,529 17,569,588 8,784,794 4,392,397 13,177,192 6,588,596 3,294,298 1,647,149 4,941,448 2,470,724 1,235,362 617,681 1,853,044 926,522 463,261 1,389,784 694,892 347,446 173,723 521,170 260,585 781,756 390,878 195,439 586,318 293,159 879,478 439,739 1,319,218 659,609 1,978,828 989,414 494,707 1,484,122 742,061 2,226,184 1,113,092 556,546 278,273 834,820 417,410 208,705 626,116 313,058 156,529 469,588 234,794 117,397 352,192 176,096 88,048 44,024 22,012

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