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Atlas › Integer Profiles › Node 1,730,157

1,730,157

3 × 11 × 13 × 37 × 109
Deficient Odd Composite

Starting at 1,730,157, the Collatz iteration reaches 1 after 114 steps. The first transition is 5190472; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 13 × 37 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,808,960
Proper Divisor Sum 1,078,803
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1730153 ← → #1730167

Radix Representation

Decimal 1730157
Binary 110100110011001101101 (21 bits)
Octal 0o6463155
Hexadecimal 0x1A666D

Divisor Catalog (32)

1 3 11 13 33 37 39 109 111 143 327 407 429 481 1,199 1,221 1,417 1,443 3,597 4,033 4,251 5,291 12,099 15,587 15,873 44,363 46,761 52,429 133,089 157,287 576,719 1,730,157

Collatz Trajectory (114 steps to reach 1)

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

1,730,157 5,190,472 2,595,236 1,297,618 648,809 1,946,428 973,214 486,607 1,459,822 729,911 2,189,734 1,094,867 3,284,602 1,642,301 4,926,904 2,463,452 1,231,726 615,863 1,847,590 923,795 2,771,386 1,385,693 4,157,080 2,078,540 1,039,270 519,635 1,558,906 779,453 2,338,360 1,169,180 584,590 292,295 876,886 438,443 1,315,330 657,665 1,972,996 986,498 493,249 1,479,748 739,874 369,937 1,109,812 554,906 277,453 832,360 416,180 208,090 104,045 312,136 156,068 78,034 39,017 117,052 58,526 29,263 87,790 43,895 131,686 65,843

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